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The document outlines the curriculum for the Master of Science (M.Sc.) in Physics at Arba Minch University, detailing the program's background, objectives, admission requirements, and graduation criteria. It emphasizes the need for trained physics professionals in various sectors and includes specific specializations such as Condensed Matter Physics and Quantum Optics. The curriculum aims to enhance the quality of education and research in physics while preparing graduates for careers in academia, industry, and research institutions.

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0% found this document useful (0 votes)
43 views36 pages

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The document outlines the curriculum for the Master of Science (M.Sc.) in Physics at Arba Minch University, detailing the program's background, objectives, admission requirements, and graduation criteria. It emphasizes the need for trained physics professionals in various sectors and includes specific specializations such as Condensed Matter Physics and Quantum Optics. The curriculum aims to enhance the quality of education and research in physics while preparing graduates for careers in academia, industry, and research institutions.

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abtura3
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You are on page 1/ 36

Department of Physics

College of Natural Sciences


Arba Minch University

Curriculum for the Degree of Master of


Science (M.Sc.) in Physics

May, 2019
Arba Minch, Ethiopia

Curriculum forMasters of Science in Physics Page 0


Curriculum Development Team Members
S.N
Name Specialization and stream Email Email address
1 Dr.Mulugeta Habte Physics education mulugeta1970@gmail.com
2 Dr.Sintayehu Mekonnen Condensed matter physics hailemariamsintayeh@gmail.com
3 Dr.Tesfay G/Mariam Quantum optics and Information tesfay.gariam@gmail.com
4 Dr.Atikilt Belay Astro-physics tigerwedibelay@gmail.com

©2019 All rights reserved. This M.Sc.in physics curriculum is the first and original work of
Physics Department of Arba Minch University, Ethiopia. The use and replication of the document
for academic and other purposes without prior permission by Arba Minch University is legally
prohibited.

Approval sheet
Curriculum Committees Signature Date
Wondimagegn Anjulo (Head of Department) ---------------- -----------
Dr. Mulugeta Habte ---------------- -------------
Dr. Paulos Tadese ----------------- --------------
Dr. Sintayehu Mekonnen ----------------- ----------------
Dr. Tesfay G/Mariam ---------------- ----------------
Dr. Atakilti Belay ---------------- ----------------

Internal Reviewers
Dr.Paulos Tadese ----------------- -----------------
Ato Habtamu Menberu ----------------- ---------------
Ato Kunsa Haho ----------------- ---------------
Ato Lijalem Kelemu ---------------- --------------

Curriculum forMasters of Science in Physics Page 1


Board/ External of Examiners
Gebregziabher Kahsay (Ph.D) of Bahir Dar University -------------- -------------
Tsegaye Kassa (Ph.D) of Bahir Dar University ---------------- -------------
Tamirat Abebe (Ph.D) of Jimma University ----------------- ----------

Curriculum forMasters of Science in Physics Page 2


Contents
1. BACKGROUND ......................................................................................... - 1 -
1.1. The Overview of Department of Physics .................................................. - 1 -
1.1.1 Vision .............................................................................................. - 2 -

1.1.2 Mission ............................................................................................ - 2 -

1.1.3 Educational Goals ............................................................................ - 3 -

2. RATIONALE............................................................................................... - 3 -
3. OBJECTIVES.............................................................................................. - 3 -
3.1. General Objective .................................................................................. - 3 -

3.2. Specific Objectives ................................................................................ - 3 -

4. GRADUATE PROFIle ................................................................................ - 4 -


5. PROGRAM REQUIREMENTS .................................................................. - 4 -
5.1. Admission Requirement ........................................................................ - 4 -

5.2. Graduation Requirements ...................................................................... - 5 -

6. PROGRAM DURATION AND DEGREE NOMENCLATURE ................. - 5 -


6.1. Program Duration .................................................................................. - 5 -

6.2. Degree Nomenclature ............................................................................... - 6 -


7. MODE OF DELIVERY AND GRADING SCALE ..................................... - 6 -
7.1. General Assessment Method .................................................................. - 6 -

7.2. Grading System....................................................................................... - 6 -

8. QUALITY ASSURANCE ........................................................................... - 7 -


9. PROGRAM PROFILE ............................................................................. - 7 -

9.1. Course Coding/Naming ............................................................................ - 7 -

Curriculum forMasters of Science in Physics Page 3


9.2.1. Compulsory Courses ....................................................................... - 8 -

9.2.2. Specialization Courses ..................................................................... - 9 -

10. Course Break Down ................................................................................ - 10 -


10.1. Regular Program............................................................................... - 10 -

10.2. Summer Program .............................................................................. - 11 -

10.3. Extension Program ........................................................................... - 12 -

11. COURSE PROFILE ............................................................................... - 12 -


11.1. Course Description ........................................................................... - 12 -

12. AVAILABLE RESOURCES .................................................................. - 27 -


12.1. Human Resource .............................................................................. - 27 -

12.2. Facilities/Equipments Requirement .................................................. - 30 -

Curriculum forMasters of Science in Physics Page 4


1. BACKGROUND
Physics is closely related to the other natural sciences and, in it sense, encompasses them. Even in
19th century a physicist was also a mathematician, philosopher, chemist, biologist, or an engineer.
Today the field has grown to such an extent that with few exceptions modern physicists have to
limit their attention to one or two branches of the science. Once the fundament al aspects of a new
field are discovered and understood, they become of interest to engineers and other applied
scientists. The 19th century discoveries in electricity and magnetism, for example, are now the
province of electrical and communication engineers; the properties of matter discovered at the
beginning of the 20th century have been applied in electronics; and the discoveries of nuclear
physics, most of them not yet 40 years old, have passed into the hands of nuclear engineers for
application to peaceful uses. Much of the later work on relativity was devoted to creating a
workable relativistic quantum mechanics. A relativistic electron theory was developed in 1928 by
the British mathematician and physicist Paul Dirac, and subsequently a satisfactory quantized field
theory, called quantum electrodynamics, was evolved, unifying the concepts of relativity and
quantum theory in relation to the interaction between electrons, positrons, and electromagnetic
radiation. In recent years, the work of the British physicist Stephen Hawking has been devoted to
an attempted to the full integration of quantum mechanics with the theory of relativity.
1.1. The Overview of Department of Physics
Arba Minch university (AMU) is one of the well-established universities found in the Southern
Nations, Nationalities and People’s Region (SNNPR). Currently, AMU comprises Six colleges,
one institute and four schools. When the Arba Minch University came into existence in 1996 E.C
as one of the strategic plan to expend Universities of the country, it was organized into different
faculties. To mention some Applied Science and Faculty of Education. In Applied science Faculty,
there was Applied Physics department. Similarly in Education Faculty there was Physics
department. Acordingly, the department of Physics of AMU has started delivering courses under
the division of basic science by the year 1979 E.C. Moreover, the department was established
independently in 1996 E.C in line with the nationwide expansion of first generation universities,
since then it has been offering undergraduate program leading to BSc degree in physics and B.Ed.
degree in physics education before the later program was terminated. Currently, the higher
learning institutions and research centers which are flourishing in our country are in high demand

Curriculum forMasters of Science in Physics Page - 1 -


of well trained manpower in order to fulfill the shortage of trained manpower to accomplish their
teaching-learning and research activities. Morover, in line with the Grand National demand and
transformation plan and with the national direction for the first generation university, Arba Minch
University has shifted its focus from being a primarily undergraduate institution to graduate
training university. In take this further, the physics department believes that it has now reached a
stage where it could launch a Master of Science (M.Sc.) in Physics in various fields of Physics.
For many years, the department shouldered the responsibility of producing professionals for
research institutes, universities, colleges and secondary schools throughout the country.
Currently, the department has 33 academic staffs at different levels viz. assistant professors,
lecturers, graduate, B.Sc. degree and technical assistants. Morover, at this time the department has
been offering the following programs in the regular and non-regular and program;
 A five year BSc summer Program in Physics;
 A four-year summer MSc program in Physics;
 A two year MSc program in material science and engineering.

1.1.1 Vision
The Department of Physics at Arba Minch University will exert systematic and untiring effort
towards diverse, dynamic and innovative teaching, research and community service activities in
order to achieve regional and global recognition as a premier institution of learning. In addtion,
the department aspires to be a leading department in the college of natural sciences
in the field of Physics in Ethiopia and producing qualified and responsible citizens. Besides gaining
preeminence in core areas (basic physics, modern physics, elective physics and materials physics),
new multidisciplinary areas will be launched and developed in line with the current trends in the
field of Physics.
1.1.2 Mission
The Department of Physics at AMU serves the country by advancing and disseminating
knowledge, by educating students, by enhancing economic development, by transferring
technology and by providing scientific leadership in the physical science. The Department strives
to strengthen its capacity to teach and conduct research. It continues to employ experienced
academic and technical staff and acquire modern instruments to nurture existing and emerging
programs. This will not only greatly enhance its graduate training capacity but also support the
academic activities of the emerging universities in the country.

Curriculum forMasters of Science in Physics Page - 2 -


1.1.3 Educational Goals
 Ensure the quality of education and training
 Conduct problem solving basic and/or applied researches in various fields and serve the
community
 Establish systems and create conducive environment for learning and teaching
 Advance research and consultancy works in various fields

2. RATIONALE
The need assessment indicated that there is high demand of M.Sc. physics gradates in our country.
Therefore, it is reasonable to expand the current BSc programs in our department to fulfill the
demand of the different sectors such as: (i) Universities/colleges and preparatory schools (II)
Industries (iii) Ethiopian standards agency (ESA) (iv) Ethiopian radiation protection authority
(ERPA) (v) Center of emerging technologies under Ethiopian Bio-technology institute (EBTi) (vi)
Communication and Energy sectors (vii) outer- space exploration. In view of this, the department
has designed M.Sc., program in highly selected and demanded physics specializations. These are:
Condensed matter physics, Quantum optics and information, Astrophysics, Laser physics.
3. OBJECTIVES

3.1. General Objective


The MSc. program in Physics is designed with the aim that it will fulfill the high demand of
physics graduates who will contribute for the scientific and technological development of the
country.

3.2. Specific Objectives


The specific objective of the programs bare;
 to train Physics professionals who will be teachers at higher learning institutions,
secondary and preparatory schools
 to produce physicists who are needed in the national development sectors such as
environmental agencies, energy sectors, industries, communications, and research
institutions
 to train physicists who will have intellectual and communication skills which are
vital to present and articulate research findings both in verbal and written forms

Curriculum forMasters of Science in Physics Page - 3 -


 to train MSc graduates who have the skills of manipulating the analytical,
numerical and computational knowledge using computer softwar

4. GRADUATE PROFILE

Upon the completion of the MSc program in Physics, the graduate will have acquired the
following attributes be able to:
 carry out independent research in his field of specialization
 teach physics courses at higher learning institutions, secondary and preparatory
schools
 work in industries, environmental institutions, research centers where physics
knowledge is required
 work as a programmer in ICT firms/centers
 Organize and upgrade the physics laboratories with modern facilities that can creat
conductive benvaroment for transfer and development of science and technmology.
 Have preparedness to presu M.Sc. in physics and related seince area.

5. PROGRAM REQUIREMENTS
5.1. Admission Requirement

In line with the admission criteria of AMU for the graduate programs and as per the rules
and regulations stipulated in the legislation of the university, the applicant,

must have either a B.Sc. or equivalent degree in Physics or related fields such as
Electrical engineering, Chemistry, Mathematics, B.Ed. from recognized higher
learning institutions.

with B.Ed. degree in physics or another equivalent degree may be advised to take
bridge/remedial course(s) as proposed by the DGC.

must submit recommendation letter(s).

must pass an entrance examination prepared by the Department of Physics.

Curriculum forMasters of Science in Physics Page - 4 -


must meet the general admission requirements of AMU.

5.2. Graduation Requirements

The M.Sc. degree in Physics is awarded to a graduate student who has fulfilled;
 the completion of all course works (23 credit hours of compulsory courses, 10 credit of
specialization courses and 6 credit of Msc. thesis);
 must complete with a minimum of 39 credit hours as mandatory and achieved a
cumulative grade point (CGPA) of at least 3.00 no more than one ‘C+’ with no ‘’F’’ in
any course
 if a student has a grade of ‘C+’ and/or C in more than one course, he/she is subjected
to repeat the course,
 must undertake a MSc. Thesis on an approved topic under the supervision of advisor(s),
 must successfully defend the MSc Thesis and score a minimum rank of satisfactory,
which corresponds ‘’B’’,
 Morover, the student must also fulfill all other requirements set by the Arba Minch
University legislation.

6. PROGRAM DURATION AND DEGREE NOMENCLATURE


6.1. Program Duration
The Msc program in physics will be delivered will be offered in three modes: Regular,
Extension, Summer programs. The duration of study for each mode is given below:
 Regular Program

The program normally takes TWO years in the Regular program. But, incase of some
irregularities a one year extension may be allowed upon the recommendation of the
advisor/supervisor and permission of the DGC.

 Summer Program
The program takes FIVE years in the Summer program. But incase of some irregularities a one
year extension may be allowed upon the recommendation of the advisor/supervisor and
permission of the DGC.

 Extension Program

Curriculum forMasters of Science in Physics Page - 5 -


The program takes THREE years in Extension program. But, incase of some irregularities a one
year extension may be allowed upon the recommendation of the advisor/supervisor and
permission of the DGC.

6.2. Degree Nomenclature


 The Degree of Master of Science in Physics (Condensed Matter Physics)
( የሳይንስማስተርድግሪበፊዚክስ (በኮንዴንስድማተርፊዚክስ)
 The Degree of Master of Science in Physics (Astrophysics)
(የሳይንስማስተርድግሪበፊዚክስ (አስትሮፊዚክስ)
 The Degree of Master of Science in Physics (Quantum Optics and information)
(የሳይንስማስተርድግሪበፊዚክስ (በኳንተም ኦፕቲክስ ኤንድ ኣንፎርመሽን)
 The Degree of Master of Science in Physics (Laser physics)
(የሳይንስማስተርድግሪበፊዚክስ (ሌዘርፊዚክስ)

7. MODE OF DELIVERY AND GRADING SCALE

7.1. General Assessment Method


The general method of assessment includes: assignments, tests, seminars, presentations, mid- term
and final examinations. The examinations and problem exercises will provide the means for
students to demonstrate the acquisition of subject knowledge and the development of their
problem-solving skills. Based on nature of subject matter, students will be evaluated though the
field trip, term-paper and lab reports etc.

7.2. Grading System


The grading system shall follow fixed scale as shown below:
Examinations Grade scale description (Refer AMU Legislation)

Raw Mark Letter Grade Grade Points Pass Grade


[90,100) A+ 4 yes
[85,90) A 4.00 yes
[80,85) A- 3.75 yes
[75,80) B+ 3.50 yes
[70,75) B 3.00 yes

Curriculum forMasters of Science in Physics Page - 6 -


[65,70) B- 2.75 yes
[60,65) C+ 2.50 yes
[50,60) C 2.00 yes
< 50 F 0 No

8. QUALITY ASSURANCE
There will be several methods utilized to monitor and and evaluate the effectiveness and success
of the M.Sc. program in physics. Both internal and external evaluations will be developed and
conducted throughout the program in order to verify whether it meets the objectives set up. In the
case of internal mechanism, student evaluation based on the accomplishments will be performed
at the end of each academic period. The evaluation will also take into account the number of
students enrolled in the program and graduates per year, the student satisfaction with the program,
the impact of research in physics and achievements of the graduates in the industry and academia.
Teaching staffs will be encouraged to obtain student feedback during the academic year for the
continuous improvement of their instruction. Periodically, the department Quality Assurance
Committee will evaluate the program to seek advice for the improvement of the program.
The external evaluation mechanism will be conducted using external examiners for M.Sc. thesis
work. The external examiners will evaluate the overall quality of the research described in the
thesis. The program can be revised every two years.

9. PROGRAM PROFILE

9.1. Course Coding/Naming


The names of all Physics courses are coded as “Phys” which stands for Physics followed by three
digits’ numbers. The three digit numbers are describedas follws;
 All graduate program courses of physics department begin with either 6 or 7 depending on the
level of the year. That is,

6 for first year MSc program compulsory courses

7 for second year MSc program courses and thesis

The middle digits in general represents field of specialization. In our case the middle digits assumes
numbers 1-5 for the five specialties listed in the nomenclature above in the order presented there.,
i.e.,

Curriculum forMasters of Science in Physics Page - 7 -


 0 - Compulsory Courses

 1 - Condensed Matter Physics

 2 -Astrophysics

 3 - Quantum Optics and Information

 4 - Laser Physics

 5 - MSc Thesis

 The last digits stand for semester in which the course is to be delivered under
normal circumstance i.e.,

ODD last digit courses are to be delivered during the first semester.

EVEN last digit courses are to be delivered during the second semester.

9.2. List of Courses

The courses are designed as major, supportive and elective courses. Due to the diverse
background of entering students, the elective courses (MSE 6xx) will be assigned to the
students by the Department Graduate Council (DGC) depending on the individual student’s
background. The courses are structured as follows:
9.2.1. Compulsory Courses
Course Code Course Title Contact Cr.Hrs ECTS
Hrs./Week

L P

Phys 601 Mathematical Method of Physics 3 - 3

Phys 603 Statistical Mechanics 3 - 3

Phys 607 Classical Mechanics 3 - 3

Phys 605 Computational Physics 2 3 3

Phys 609 Advanced Experimental Physics 2 3 3

Curriculum forMasters of Science in Physics Page - 8 -


Phys 602 Electromagnetic Theory 3 - 3

Phys 604 Quantum Mechanics 3 - 3

PhEd 608 Scientific research writing 1 3 2

Total Credit Hour 23

9.2.2. Specialization Courses

A graduate student is expected to choose one of the following areas of specializations and take
corresponding courses listed under each specialization.

I. Condensed Matter Physics

Course Code Course title Cr.Hrs. ECTS

Phys 612 Condensed matter physics I 3

Phys 713 Condensed matter physics II 3

Phys 715 Selected topic in condensed 3


matter physics

Phys 702 Seminar 1

Phys 755 MSc Thesis 6

Total Credit Hour 16

II. Astrophysics

Course Code Course Title Cr. Hrs ECTS

Phys 622 Relativistic Astrophysics 3

Phys 723 Stellar Equilibrium and Evolution 3

Phys 725 Special topic in astrophysics 3

Phys 702 Seminar 1

Phys 755 MSc Thesis 6

Curriculum forMasters of Science in Physics Page - 9 -


Total Credit Hour 16

III. Quantum Optics and Information


Course code Course title Cr. Hrs ECTS
Phys 632 Quantum States of Light 3
Phys 733 Advanced Quantum Optics and Information 3
Phys 735 Selected topic in quantum optics and 3
information
Phys 702 Seminar 1
Phys 755 MSc Thesis 6
Total Credit Hour 16

IV. Laser Physics


Course Code Course Title Cr. Hrs ECTS
Phys 642 Laser Physics I 3
Phys 743 Laser Physics II 3
Phys 745 Selected topic in Laser Physics 3
Phys 702 Seminar 1
Phys 755 MSc Thesis 6
Total Credit Hour 16

10. Course Break Down

10.1. Regular Program


Course Course Title Cr.hrs Semester/Year
Code
Phys 601 Mathematical Methods of 3
Physics
Phys 603 Statistical Mechanics 3 Year I Semester I
Phys 605 Computational physics 3

Curriculum forMasters of Science in Physics Page - 10 -


Phys 607 Classical Mechanics 3
Phys 602 Electromagnetic Theory 3
Phys 609 Advanced experimental 3
Physics Year I Semester II

Phys 604 Quantum Mechanics 3


Phys 608 Scientific research writing 2
Specialization course I 3
Selected topic 3
Specialization Course II 3
Phys 755 MSc Thesis 6 Year II Semester I
Phys 702 Seminar 1 Year II Semester II
Phys755 MSc Thesis **

10.2. Summer Program


Course Course Title Cr.hrs Semester/Year
Code (Summer)

Phys 601 Mathematical Methods of 3


Physics Summer I

Phys 603 Statistical Mechanics 3


Phys 607 Classical Mechanics 3
Phys 602 Electromagnetic Theory 3
Phys 604 Quantum Mechanics 3 Summer II

PhEd Scientific research writing 2


608
Phys 609 Advanced Experimental 3
Physics
Phys 605 Computational Physics 3
Summer III
Specialization Course I 3

Specialization Course II 3

Curriculum forMasters of Science in Physics Page - 11 -


Phys 702 Seminar 2
Selected topics 3 Summer IV

Phys 755 MSc Thesis 6


Phys 755 MSc Thesis Summer V
***

10.3. Extension Program


Course Course Title Cr.hrs Semester/Year
Code (Extension)
Phys 601 Mathematical Methods 3 Extension I semester I
Phys 603 Statistical Mechanics 3

Phys 602 Electromagnetic Theory 3


Phys 607 Classical Mechanics 3 Extension I Semester II
Phys 609 Experimental Physics 3

Phys 605 Computational physics 3 Extension II Semester I


Phys 608 Scientific research writing 2
Specialization Course I 3
Specialization Course II 3
Phys 604 Quantum Mechanics 3 Extension II Semester II
Phys 702 Seminar 1
Phys 755 MSc Thesis 6 Extension III Semester I
Selected topics 3
Phys 755 MSc Thesis *** Extension III Semester II

11. COURSE PROFILE


11.1. Course Description

Part. I: Compulsory Courses


Phys 601 Mathematical Methods of Physics (3 Cr.Hrs)

Curriculum forMasters of Science in Physics Page - 12 -


I. Course content
Vector calculus, Eigenvalue problems and orthonormal functions, Matrix theory and tensor
analysis, Laplace and Fourier transforms, Partial differential and integral equations, Special
functions, Complex variables, Group Theory.
II. Learning Outcomes
Subject-specific Knowledge:
 Having studied this module student will be familiar with some of the fundamentals of
mathematical methods useful for solving various physical problems.
Subject-specific Skills:
 In addition to the acquisition of subject knowledge, students will be able to apply the
acquired mathematical skills to solve scientific problems.
III. References
 Foundations of Mathematical Physics, Sadri Hassan, Allyn and Bacon Press.
 Mathematical Methods, G. Efren, Academic Press Inc., London.
 Mathematical Methods for the Physical Sciences, Role Snider.

Phys 602 Electromagnetic Theory (3 Cr.Hrs)


I. Course content
Solution of Poisson’s equation, Solution of a boundary value problem with Green’s function,
Vector potential for a circular current loop, Maxwell’s equations, Coulomb and Lorentz gauges,
Reflection and refraction of plane electromagnetic waves, Dispersion relations, Motion of a
charged particle in electric and magnetic fields, Retarded potentials, Electric dipole radiation,
Lienard–Wiechert potentials, Radiation by an accelerated charge, Bremsstrahlung, Covariant
formulation of electrodynamics.
II. Learning Outcomes
Subject-specific Knowledge:
The student will have better understanding of electromagnetic waves, wave propagation andtheir
interaction with matter.
Subject-specific Skills:

Curriculum forMasters of Science in Physics Page - 13 -


After completing the course, a student is expected to develop skills in the use of vector algebra
and analysis, using Maxwell’s equations in integral and differential form. The specific knowledge
acquired in the course is expected to be used later in other fields of physics.
III. References
 David J. Griffiths, Introduction to electrodynamics, 3rs ed., 1999.
 Hugh D. Young and Roger A. Freedman, University Physics with Modern Physics 12th ed.,
2008
 Douglas C. Giancoli, Physics for scientists and engineers, Prentice Hall, 4th, 2005
 Robert Resnick and David Halliday, Fundamentals of Physics Extended, HRW 8 th ed., 2008
 Paul M. Fishbone, StepheneGasiorowicz, Stephen T. Thornton, Physics for Scientists and
Engineers, 3rd ed., 2005.

Phys 603 Statistical Mechanics (3 Cr.Hrs)

I. Course content
Statistical description of systems, The statistical matrix, Thermodynamic potentials, Canonical and
grand canonical ensembles, Equitation, Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac
Statistics, The electron gas, Black-body radiation, Phase transitions and Thermodynamics of Phase
transition.
II. Learning Outcomes
Subject-specific Knowledge:
 Having studied this course student will be able to know the concepts and principles in statistical
physics.
Subject-specific Skills:
 At the end of this course, students should be able to apply their newly acquired knowledge
in their research.
III. References
 K. Huang, Statistical Physics, 2nd edition, John Wiley’s and Sons.
 R. K. Pathria, Statistical Mechanics, 2nd edition, Butterworth Heinemann.
 F. Reif, Fundamentals of Statistical and Thermal Physics, Wave Land Price.

Curriculum forMasters of Science in Physics Page - 14 -


Phys 604 Quantum Mechanics (3 Cr.Hrs)
I. Course content
Postulates of quantum mechanics, Expectation values, The Schrodinger and Heisenberg equations,
The state function propagator, Angular momentum eigenvalues and eigenstates, Addition of
angular momenta, Orbital angular momentum Eigen functions, The hydrogen energy eigenvalues
and eigenstates, Time-independent perturbation theory, Spin-orbit coupling, The Zeeman effect,
The WKB approximation, Time-dependent perturbation, The classical radiation field, The
quantum radiation field, transition rates for stimulated and spontaneous emission, The lifetime of
an excited atomic state.
II. Learning Outcomes
Subject-specific Knowledge:
Upon completion of this course,students will be familiar with the basic principles and significance
of quantum mechanics.
Subject-specific Skills
At the end of this course, the students will be able to apply the acquired knowledge to analyze the
properties of physical systems of interest.
III. References
 John S. Townsend, A Modern Approach to Quantum Mechanics, 2nd University Science
Books, (2000)
 W. Greiner, Quantum Mechanics (An Introduction), 4th ed., Springer (2008).
 David Griffith, Introduction to Quantum Mechanics: Benjamin Cummings, (2004).
 J.J. Sakurai, Modern Quantum Mechanics Revised edition, (1993).
 R. Shankar, Principles of Quantum Mechanics, 2nd ed., (2008)
 J. Singh, Quantum Mechanics: Fundamentals and Applications to Technology 1 st ed.,
(1996).
 David A.B. Miller, Quantum Mechanics for Scientists and Engineers, (2008).

 Zettili N. Quantum Mechanics: Concepts and Applications. Jacksonville State University,


Jacksonville, USA: Wiley, 2009.

Phys 609 – Advanced Experimental Physics (3 Cr.Hrs)

Curriculum forMasters of Science in Physics Page - 15 -


I. Course content
Fraunhoffer diffraction phenomena in monochromatic light, X-ray diffraction, Electron
diffraction, Mach-Zehnder Interferometer, Holography Frank-Hertz experiment, study of Zeeman
Effect, Electron spin resonance experiment, X-ray absorption, Millikan oil drop experiment, Hall
effect and energy band gap in a Germanium semiconductor, Gamma ray spectrum of Cs-137 using
Nal (Tl) spectrometer, Measurement of linear and mass attenuation coefficient for two beta energy
sources and measurement of energy of one beta unknown source using range-energy relations,
Measurement of thermal neutron flux 127l activation and measurement half-life of induced
activity.

II. Learning Outcomes


Subject-specific Knowledge:
After completing the course students will be able to:
 know and explain the concepts and principles associated with each of the experiments,
 have a better understanding of the steps required in performing physics experiments,
 know the various apparatus used in the experiments and their applications, and
 Understand the importance of experiments in science.
Subject-Specific Skill:
Upon completion of the course students should be able to:
 construct knowledge collect, analyze, and interpret real data from personal observations of
the physical world to develop a physical worldview.
 model physical phenomena develop abstract representations of real systems studied in the
laboratory, understand their limitations and uncertainties, and make predictions using
models.
 design Experiments develop, engineer, and troubleshoot experiments to test models and
hypotheses within specific constraints such as cost, time, safety, and available equipment.
 Develop technical and practical laboratory skills become proficient using common test
equipment in a range of standard laboratory measurements while being cognizant of device
limitations.
 analyze and visualize data analyze and display data using statistical methods and critically
interpret the validity and limitations of these data and their uncertainties.

Curriculum forMasters of Science in Physics Page - 16 -


 communicate Physics present results and ideas with reasoned arguments supported by
experimental evidence and utilizing appropriate and authentic written and verbal forms.
III. References
 David C. Baired, Benjamin Cummings, Experimentation: An Introduction to measurement,
theory and experimental design, 3rd edition, 1994.
 Andrian C. Melisings and Jim Napolitano, Experiments in Modern Physics, Academic
Press, 2nd ed., 2003.

Phys 606 Computational Physics (3 Cr.Hrs)

I. Course content
Basic computer programming language (Fortran 90/95, python, C++, MATLAB), Introduction to
lunix (Kile,winedit etc..), Fundamental methods of computational physics and applications,
Numerical algorithms, System of linear equations, Differential equations, Computer simulations
with Selected methods, Examples and projects on scientific applications,Ising model.
II. Learning Outcomes
Subject-specific Knowledge:

 Having studied this module student will be familiar with some of the numerical
techniques and programming language useful for solving various physical problems.
 Student will know how to structure physics problems and their computational solutions.
Subject-specific Skills:
 In addition to the acquisition of subject knowledge, students will be able to apply the acquired
computational skills to solve scientific problems.
III. References
 Introductory Methods of Numerical Analysis by Sastry.
 Elementary Numerical Analysis by S.D. Conte and C.de Boor, McGraw Hill, International
Student Edition.
 Computational Physics by David Potter Computer Programming in Fortran 95 &2000: V.
Rajaraman, Prentice Hall, India.
 Numerical Recipies in FORTRAN 90 by W.H. Press, S.A. Teukolsky, W.T. Vettering and B.P.
Flannery Cambridge University Press.

Curriculum forMasters of Science in Physics Page - 17 -


 Computer Simulation in Physics by Harvey and Gould.

Phys 607 Classical Mechanics (3 Cr.Hrs)


I. Course content
Variation principles, Lagrangian equations, Conservation laws, Central force problems, Symmetry
and invariance properties, Scattering, Rigid body motion, Hamilton’s equations of motion,
Canonical transformations, Hamilton-Jacobi equations, Small oscillations.
II. Learning Outcomes
Subject-specific Knowledge:
At the end of this course the students will be able to:
 analyze mechanical systems applying basic conservation laws with emphasis given to
central force problem and rigid body motion,
 apply advanced theoretical techniques including small oscillations and wave
propagation to analyze certain mechanical systems,
Subject-specific Skills:
In addition to the acquisition of subject knowledge, students will be able to:
 analyze mechanical systems applying basic conservation laws with emphasis given to
centralforce problem and rigid body motion,
 apply advanced theoretical techniques including small oscillations and wave propagation
toanalyze certain mechanical systems, and
 acquainted with basic theoretical methods and apply to solve physical problems.
III. References
 H. Goldstein, Classical Mechanics, Addison Wesley 3rded., 2001
 Marion Thoronton, Classical Dynamics of Particles and Systems, 4 thed., 1995
 Murrey R. Speigle, Schaum’s Outline series: Theory and problems of theatrical
mechanics
 R. Taylor, Calassical Mechanics, Universal Science, 2005
 K. R. Symon, Mechanics, Addison Wesley 3rded., 1971.

Phys 608 Scientific Research Methods (3 Cr.Hrs)


I. Course Content

Curriculum forMasters of Science in Physics Page - 18 -


(i) Norms and ethics of Scientific Researchwriting, (how to write an academic journal paper, how
to publish ascientific paper, how to participate an academic conference, citespace: a mapping
knowledge domain tool), Key elements Scientific Researchwriting (Innovative, Readability,
Informative, References, Authors and acknowledgement). (ii) The structure of scientific papers/
thesis (What is Scientific Writing for? The structure of scientific papers? The structure of degree
thesis?). (iii) academic search and reference management tool (Academic Databases: Search
Engine, Fulltext, Citation Index). (iv) Literature review
writing: (Purpose and function of literature review, basic steps in writing literature review,
Applying quantitative methods to write literature review). In addition to this, this course can
include Laboratory practical, independent work, factories and laboratory visits and field report.

II. Learning Outcomes:


Subject-specific Knowledge:
At the end of this course the students will be able to:
 To Apply the norms and ethics of an academic journal paper
 How to structure of scientific papers/dissertations
Subject-specific Skills
After completion of the course, students should know
 how to deal with academic research and reference management tool
 how to Literature review
 how to write scientific research papers/articles,

III.References
 John W.Best& James, 2006. Research in education. Pearson Education Inc., 2006.
 Louis Cohen, Lawrence Manion and Keith Morrison. Research Methods in Education 5th
ed.,. Routledge Falmer, London, 2000.
Part II. Specialization Courses
I. Condensed Matter Physics
Phys 612 Condensed Matter Physics I (3 Cr.Hrs)
I. Course Content

Curriculum forMasters of Science in Physics Page - 19 -


Crystalline lattice, Reciprocal lattice, Brillouin zones, Vibration of crystalline lattice, Phonons,
Electrons in weak periodic field, Energy bands, Tight binding model, Electron-phonon interaction,
Polaritons, Plasmon’s, Excitons, magnons. Quantum wells, Quantum wires, Quantum dots,
Density of states of these nanostructures, Super lattices, Photonic crystals, Heterostructures,
Nanoparticles, Two dimensional electron gas in strong magnetic field, low dimensional system,
Quantum Hall effect, Graphene and related structures.
II. Learning Outcomes
Subject-specific Knowledge:
After completing the course students will be able:
 Classify crystal lattice
 know about the common excitations such as phonons, polaritons, plasmons, magnons,
excitons and their causes,
 understand nanostructures such as quantum wells wires and dots,
 learn physical properties strongly correlated systems.
Subject-specific Skills:
After completing the course students will be able:
 develop the skill of identifying crystal structures in their classifications,
 numerically and analytically analyze various interactions in solids, and
 Calculate physical properties of solid states associated with the above numerated
elementary excitations.
III. References
 C. Kittel, Introduction to Solid State Physics, Eighth Edition, John Willey & Sons,
2005.
 C. Kittel, Quantum Theory of Solids, John Willey & Sons, 1987.
 P.M. Chaikin and T.C. Lubenskii, Principles of Condensed Matter Physics, Cambridge
University Press, 1995.
 Michael P. Marder, Condensed Matter Physics, Willey & Sons, 2005.
 Neil W. Ashcroft, N. David Mermin, Solid State Physics, Thompson Learning, 1997.
 Thomas Heinzel, Mesoscopic Electronics in Solid State Nanostructures, Willey – VCH
(2007).

Curriculum forMasters of Science in Physics Page - 20 -


 M. Katsnelson, Graphene - Carbon in Two Dimensions, Cambridge University Press,
2012.

Phys 713 Condensed Matter Physics II (3 Cr.Hrs)


I. Course content
Diamagnetism, Para magnetism, Ferromagnetism, Antiferromagnetic, Fermi surfaces, Spin
glasses, magnetic domains, Spin waves, Giant magnetoresistance, diluted magnetic
semiconductors, Magnetic ordering, Theory of superconductivity and super fluidity, strongly
correlated systems, many body system, introduction to density functional theory,self consistence
method.
II. Learning Outcomes
Subject-specific Knowledge:
After completing the course, students will be able to:
 explain the various classifications of magnetic materials, and
 be familiarized with the theory of superconductivity and super-fluidity.
 develop skill to solve many body problems
Subject-specific Skills:
With the acquisition of subject knowledge, students will be able to:
 solve problems by applying the acquired knowledge, and
 apply the acquired concepts and theory to explain the phenomena of superconductivity
and super-fluiidity as well as strongly correlated systems.
 Familiarize how to solve many body problems
 Solve problems using Density functional theory
III. References
 C. Kittel, Introduction to Solid State Physics, 8th Edition, John Willey & Sons, 2005.
 C. Kittel, Quantum Theory of Solids, John Willey & Sons, 1987.
 P.M. Chaikin and T.C. Lubenskii, Principles of Condensed Matter Physics, Cambridge
University Press.
 Michael P. Marder, Condensed Matter Physics, Willey and Sons, 2001.
 Neil W. Ashcroft, N. David Mermin, solid State Physics, Thompson Learning, 1997.

Curriculum forMasters of Science in Physics Page - 21 -


Phys 715 Selected topic in condensed matter physics (3 Cr.Hrs)
Under this course the advisor will discuss the advanced researchable topics in condensed matter
physics and methodology (Analytical, experimental or computational procedures) which helps to
thesis work.

II. Astrophysics
Phys 622 Relativistic Astrophysics (3 Cr.Hrs)
I. Course content
Covariant physics, The principle of equivalence, Tensor analysis, Effects of gravitation,
Einstein’s field equations, Classical tests of Einstein’s theory, Post-Newtonian celestial
mechanics, Gravitational radiation.
II. Learning Outcomes
Subject-specific Knowledge:
After successfully completing this course, the student will be able to:
give coherent explanation of the principles associated with General Relativity,
give covariant description of basic physical concepts,
explain what is meant by curvature of space, local inertial frames and the
Riemann coordinate geometry, and
describe world-lines of particles and photons in curved space-time.
Subject-specific Skills:
In addition to the acquisition of subject knowledge, students will be able to:
apply tensors to the description of curved spaces, and
solve problems by applying the principles of relativity.
3. References
Steven Weinberg, Gravitation and Cosmology, John Wiley and Sons, 1995.
C. W. Misner, K.S.Thorne and J. A.Wheeler, Gravitation, Freeman and Company,
1973.
Phys 723 Stellar Equilibrium and Evolution (3 Cr.Hrs )
I. Course content
Stellar equilibrium, the stability of stars, Relativistic equations of stellar equilibrium, Relativistic
equations for rotating stars, the theory of cold white dwarfs, neutron stars, the mass defect, stability

Curriculum forMasters of Science in Physics Page - 22 -


of neutron stars, Stellar evolution, Evolution of a star up to the loss of stability, Instability of
massive stars with nuclear sources of energy, stability of stellar evolution, Supernova, Evolution
of a star with mass greater than the Oppenheimer-Volkofaaaaaaaaaaf limit, Relativistic collapse.
II. Learning Outcomes
Subject specific Knowledge:
After successfully completing this course, the student will be able to:
 describe the structure of various kinds of stars.
 explain the reasons behind their equilibrium and long lives.
 explain the slow evolution of stars toward their death.
Subject specific Skills:
Having studied this course student will be able:
 use equations of the General Theory of Relativity to calculate the conditions for stability
of stars,
 use equations of nuclear reaction rates to estimate the chemical evolution slowly
undergoing inside stars, and
 predict from given initial conditions, the way and form a given star will die.
III. References
 Steven Weinberg, Gravitation and Cosmology, John Wiley and Sons, 1995.
 C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation, Freeman and Company, 1973.

Phys 715 Selected topic in Astrophysics (3 Cr.Hrs)


Under this course the advisor will discuss the advanced researchable topics in Astrophysics (and
methodology (Analytical, observations or computational procedures) which helps to thesis work.

IV. Quantum Optics and Information


Phys 632 Quantum States of Light (3 Cr.Hrs)
I. Course content
Quantization of radiation field, Quantum state of radiation field (Number states, Coherent states,
Chaotic states, Squeezed states), P and Q functions, Photon number and Photon count distributions,
Quadrature variance and photon statistics of single-mode and two-mode squeezed states. Methods

Curriculum forMasters of Science in Physics Page - 23 -


of closed and open quantum systems: The Fokker-Planck equation; Master equation, Quantum
Langevin equation and and Input-Output formulation.
II. Learning Outcomes
Subject-specific Knowledge:
 At the end of this course, the students will be familiar with the properties of light
modes in different quantum states and methods of open quantum system.
Subject-specific skills:
 The acquired skills may be used in the analysis of various quantum distribution
functions and equations of evolution of cavity modes and quantum optical systems.
III. References
 M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press,
Cambridge, 1997) (Main text Book)
 D.F. Walls and G.J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
 Christopher Gerry, Peter Knight: Introductory Quantum Optics (University of New
York,2005)
 Fesseha Kassahun, Refined Quantum Analysis of Light (Create Space Independent
Publishing Platform, 2014)

Phys 733 Advanced Quantum Optics and Information (3 Cr.Hrs)


I. Course content
This course covers; the Atom-field interaction, interaction of two-level atoms with a quantized
field; Interaction of three-level atoms with a quantized field, J-C Model, Rabi model, Atomic
dynamics, Foundations of quantum information processing (Shanon Entropy, Von-Neumann
Entropy Entanglement; Whirl Entropy; Quantum Cryptography, Quantum Computation, Quantum
Communication, and Quantum Correlations and quantum communication network). Quantum
Optomechanical systems, Atoms Entanglement and Photon Entanglement for quantum
information technologies.

II. Learning Outcomes


Subject-specific Knowledge:

Curriculum forMasters of Science in Physics Page - 24 -


 Having studied this module, students will be familiar with advanced quantum optics and
information such as quantum communication, quantum components and quantum
optomechanical systems including physical applications.
Subject-specific Skills:

 The acquired skills may be used in the study of various physical applications of quantum
optics and information as well as physical implementations.
III. References
 M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge,
1997) (Main text Book)
 D.F. Walls and G.J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
 Christopher Gerry, Peter Knight, Introductory Quantum Optics (University of New
York,2005).
 Michael A.Nielsen and Isaac L. Chuang, Quantum computation and quantum information.
(Cambridge: Cambridge University Press, 2000)
 D.Bouwmeester, A.Zeilinger, Dirk, The Physics of Quantum Information (Springer-Verlag
Berlin Heidelberg GmbH,2000).
 A. Galindo, M.A. Martin-Delgado, Information and computation: Classical and quantum
aspects (Rev. Mod. Phys., 2002, 74(2):347).
 S.L. Braunstein, P.VanLoock, Quantum information with continuous variables (Rev. Mod.
Phys., 2005, 77(2):513).
 M.Aspelmeyer, T.J. Kippenberg, F. Marquardt, Cavity optomechanics, (Rev.Mod.Phys.,2014,
86(4):1391).
 Fesseha Kassahun, Refined Quantum Analysis of Light (Create Space Independent Publishing
Platform, 2014).

Phys 735 Selected topic in quantum Optics and Information (3 Cr.Hrs)


Under this course the advisor will discuss the advanced researchable topics in quantum Optics and
information particularly the recent applications on quantum information (Analytical, experimental
or computational procedures) which helps to thesis work.

Curriculum forMasters of Science in Physics Page - 25 -


IV. Laser Physics
Phys 642 Laser Physics I (3 Cr.Hrs)

I. Course Content
Basic optics, Laser light, Light emission and absorption, Einstein’s theory of interaction of
radiation with matter, Semi-classical Theory of the LaserTheories of absorption & dispersion, Line
shape function and rate equations, Laser oscillator, Gaussian profile, Stability condition, Gain and
threshold condition, Pumping mechanisms, Different types of lasers, Technology of design of
lasers, Applications of lasers.
II. Learning Outcomes

Subject specific Knowledge

 The study of this course will enable student to know the differences between classical and
quantum sources of light.
Subject specific skills

 The principles learned in this course will be useful for the students to understand the
interaction of electromagnetic waves with matter. Moreover, they will learn various
applications of lasers in physics, environmental science, and medicine.
III. References
 Lasers : Fundamentals and Applications 2nd Edition by K. Thyagarajan and A.
Ghatak , Springer, New York , 2010
 Principles of Lasers, Fifth edition by O.Svelto & David C. Hann , Springer, New
York ,2010
 Laser Physics by P.Milonni and J. H. Eberly , John Hoboken, New Jersey ,2010
 Laser spectroscopy 4𝑟𝑡ℎ Edition by W. Demtroder, Springer-Verlag, Berlin, 2008.

Phys 743 Laser Physics II (3 Cr.Hrs)

I. Course Content
Hydrogen like orbitals and multi-electron atom, Molecular rotation and vibration spectroscopy,
Characterization of molecular properties by LCAO-MO method, Spectra generated by dipole
transition, semiconductor lasers, Steady state gain dynamics, Resonator Physics, Electric field
distribution in cavities, geometric optics applied to cavities, cavity stability conditions,

Curriculum forMasters of Science in Physics Page - 26 -


Spectroscopic instrumentation, Laser as spectroscopic light sources, Principles of laser
spectroscopy, Absorption, fluorescence and reflection anisotropy spectroscopy, Doppler limited
techniques, Time resolved atomic and molecular spectroscopy, Laser spectroscopic applications.
II. Learning Outcomes

Subject-specific Knowledge:

 The study of this course will enable student to know the techniques of charting atomic
and molecular energy levels and different experimental methods used in spectroscopy.
Subject specific skills:

 The principles learned in this course will be useful for the students to understand the
interaction of electromagnetic waves with matter and Resonator Physics, Electric field
distribution in cavities. Moreover, they will learn various applications of lasers in physics,
environmental science, medicine etc.
III. References
o Laser Physics by P.Milonni and J. H. Eberly , John Hoboken, New Jersey ,2010
o Lasers : Fundamentals and Applications 2nd Edition by K. Thyagarajan and A.
Ghatak , Springer, New York , 2010
o W. W. Parson, Modern Optical spectroscopy (2009), Springer Berlin Heidelberg
o Laser spectroscopy 4𝑟𝑡ℎ Edition by W. Demtroder, Springer-Verlag, Berlin, 2008.
o Principles of Lasers, Fifth edition by O.Svelto and David C. Hann , Springer, New
York ,2010

Phys 745 Selected topic in Laser Physics(3 Cr.Hrs)


Under this course the advisor will discuss the advanced researchable topics in laser Physics and
methodology (Analytical, experimental or computational procedures) which helps to thesis work.

12. AVAILABLE RESOURCES

12.1. Human Resource


At this moment, the Department of physics has a total of 33 staff members, among them 6
are Ph.D.holders, 19 are with M.Sc. degree, 2 are on Ph.D. study leave at AAU (will join the
Department later); The rest 6 are with B.Sc. degree. The department has also claimed to

Curriculum forMasters of Science in Physics Page - 27 -


recruit more assistant professors and above (from local markets if available or expatriates).
The detail of the required resources is presented as annex.

Detailed list of all academic staffs with their academic rank is shown in the following table:

No Name Specilization Academic Current status


Rank
1 Wondimagegn Medical Physics Lecturer Head of Department
Anjulo
2 Dr.Paulos Tadese Material science Associate Active staff
Prof.
3 Dr.Tesfay G/Mariam Quantum Optics Assistance Active staff
Prf.
4 Dr.Sintayehu Condensed Assistance Active staff
Mekonnen matter physics Prof.
5 Dr.Mulugeta Habte Physics Assistance Active staff
education Prof.
6 Dr. Atakilti Belay Astro physics Assistance Active staff
Prof.
7 Dr.Alok Srivastrava Material science Associate Active staff
Prof.
8 Fistume Gabr physics Graduate Active staff
Ass.
9 Kassahun Lewetgn Material science Lecturer Active staff
and engineering
10 Bizuayehu Addisie Space physics Lecturer Active staff
11 Antenhe Gashaye Space physics Lecturer Active staff
12 Habtamu Menberu Astro physics Lecturer Active staff
13 Mohammod Assen Envaromental Lecturer Active staff
physics

Curriculum forMasters of Science in Physics Page - 28 -


14 Shimelis Aden Computional Lecturer Active staff
physics
15 Abrham Feseha LASER Ph.D. student Study leave @ AAU
espcetroscopy
16 Muulugeta Deresa Condensed Lecturer Active staff
matter physics
17 Manyazewal Kebede Condensed Lecturer Active staff
matter physics
18 Muez G/giorgis Condensed Ph.D. Study leave @ AAU
matter physics Student
19 Belete Tilahun Envaromental Lecturer Active staff
physics
21 Alemayehu Girma Atomespheric Lecturer Active staff
physics
22 Gishu Semu Material science Lecturer Active staff
23 Kunsa Haho Condensed Lecturer Active staff
matter physics
24 ChilotaW Tsona Material science Lecturer Active staff
and engineering
25 Zerfe Mekete Material science Lecturer Active staff
and engineering
26 Ababa Tekile physics Graduate Active staff
Assistant
27 Deselagn Ketema Neculear physics Lecturer Active staff
28 Yesirash Mekonnen physics Graduate Active staff
Assistant
29 Lijalem Kelemu Quantum field Lecturer Active staff
theory
30 Wondu Barana Material science Lab. Active staff
and engineering Assistant

Curriculum forMasters of Science in Physics Page - 29 -


31 Tekeste Dankala Material science Lecturer Active staff
and engineering
32 Adinew Bezabh Material science Chief lab Active staff
and engineering Assistant
33 Markos Meskele Physics Lab. Active staff
Assistant

12.2. Facilities/Equipments Requirement


 Reference materials (Books, thesis, review papers)
 Online access to reputable journals
 One independent library
 Establishing fully equipped computing laboratory along with one specialized
computing facility (including softwares)
S.No Resources required Availability Of Remark
Resources
1 Advanced Graduate Laboratory To be established On proses
2 Optics and Laser physicsLaboratory To be established Some are available

in our central
Laboratory

3 Advanced Nuclear and Condensed To be established


matter physics Laboratory
4 Computational laboratory To be established
5 Seminar room To be established
6 Smart room for teaching- Available
learning process

Additional budget should be allotted for lab equipments, books, Journals and M.Sc
research/project for field trip.

Curriculum forMasters of Science in Physics Page - 30 -


Curriculum forMasters of Science in Physics Page - 31 -

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