Annexure - 3c
PH66011 : Q UANTUM M ECHANICS FOR E NGINEERS
(Credits: L-3,P-0,T-0. Marks: CW+TH=30+70)
Course Objectives
CO#1. To develop in the student awareness of situations in engineering, which need ideas
of quantum mechanics.
CO#2. To make the student understand the basic language, apparatus and methods of
quantum mechanics.
CO#3. To make the student understand the basic language, apparatus and methods of
quantum mechanics.
Course Outcome
CO#1. The student will develop an informed appreciation of the paradigm shift already
in evidence in technologies behind modern services and products
CO#2. The student will possess basic physics knowledge to pursue simulation and mod-
elling of systems encountered in nanotechnologies
CO#3. The student will be prepared to pursue PG courses, research programs and indus-
trial R & D programs in nanotechnologies
Syllabus
Unit 1. Introduction, de Broglie’s concept of matter waves, Heisenberg’s uncertainty relations,
Schrodinger’s wave equation ; interpretation of wave function : probability current
density ; one and three dimensional square well potential ; linear harmonic oscillator;
Unit 2. Probability density and probability current, equation of continuity; Wave function
as a vector, physical variables as operators; Eigenvalues, eigenfunctions, expectation
values and uncertainties
Unit 3. Particle in One-dimension: Infinite square well, finite potential well, GaAs quantum
well between AlGaAs layers in a semiconductor heterostructure, triangular well, ap-
plication to electron in a MOSFET
Unit 4. Quantum Tunneling: Potential barrier, tunneling, tunneling probability; Double rect-
angular barrier, resonant tunneling, Esaki tunnel diode; Barrier of arbitrary shape,
WKB approximation
Unit 5. Probabilistic descriptions and Quantum systems, Schrodinger’s time dependent equa-
tion, Wave nature of Particles, state vector, operators, Entanglement, Bell’s theorem,
Schrodinger CATS, EPR Paradox, single photon interference.
Text Books
1. M. Suhail Zubairy, Quantum Mechanics for Beginners: With Applications to Quantum Communication and Quantum
Computing, Oxford, Texas, 2020.
2. Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Second Edition, David K Ferry,
Institute of Physics Publishing 2001.
3. Fundamental Quantum Mechanics for Engineers, Leon van Dommelen, 15 Jun 2012 Version 5.55 alpha, (Ebook:
http://www.eng.fsu.edu/ dommelen/quantum/).
Reference Books
1. D.J. Griffith, Introduction to Quantum Mechanics, 2nd Ed. Prentice Hall, 2004.
2. L. I. Schiff, Quantum Mechanics, 3rd Rev. Edition, McGraw Hill, 1968.
Annexure - 3d
PH66012 : Q UANTUM C OMPUTING - I
(Credits: L-3,P-0,T-0. Marks: CW+TH=30+70)
Course Objectives
CO#1. To introduce the fundamentals of quantum computing
CO#2. The problem-solving approach using finite dimensional mathematics
Course Outcome
CO#1. Basics of complex vector spaces
CO#2. Quantum mechanics as applied in Quantum computing
CO#3. Architecture and algorithms
CO#4. Fundamentals of Quantum computations
Syllabus
Unit 1. Complex numbers and its geometrical representations, Complex vector spaces, inner
products and Hilbert spaces, Hermitian and unitary matrices, Tensor products of
vector spaces Deterministic Systems
Unit 2. Dirac formalism, superposition of states, entanglement Bits and Qubits. Qubit opera-
tions, Hadamard Gate, CNOT Gate, Phase Gate, Z-Y decomposition, Quantum Circuit
Composition, Basic Quantum circuits.
Unit 3. Quantum Algorithm - I: Quantum parallelism, Quantum Evolution, Deutsch’s Algo-
rithm, Deutsch-Jozsa Algorithm, Simon’s periodicity algorithm.
Unit 4. Quantum Algorithm - II: Grover’s search algorithm, Shor’s Factoring algorithm. Ap-
plication of entanglement, teleportation, superdence coding.
Unit 5. Quantum programming languages, Probabilistic and Quantum computations, intro-
duction to quantum cryptography and quantum information theory.
Text Books
1. Quantum computing explained, David McMahon, Wiley-interscience, John Wiley & Sons, 2008
2. Quantum computing for computer scientists, Noson S. Yanofsky, Mirco A. Mannucci, Cambridge University Press 2008
Reference Books
1. Quantum computation and quantum information, Michael A. Nielsen and Isaac L. Chuang, Cambridge University
Press 2010
2. Introduction to Quantum Mechanics, 2nd Edition, David J. Griffiths, Prentice Hall New Jersey 1995
