For a system of spinless one-dimensional fermions, the nonvanishing short-range limit of a
two-body interaction is shown to induce the wave-function discontinuity. We prove the …

We show that the most general three-parameter family of point interactions on the line can
be expressed as the self-adjoint local operators in terms of three Dirac's delta functions with …

The optical potential for elastic scattering of protons from O 16 at incident beam energies
between 100 and 500 MeV is calculated from a full-folding integral of a simple sp-shell …

The longstanding open problem of approximating all singular vertex couplings in a quantum
graph is solved. We present a construction in which the edges are decoupled; an each pair …

We solve the Bethe-Goldstone equation in nuclear matter for the scattering of a nucleon of a
few hundred MeV. The angular momentum coupling caused by the nonspherical part of the …

A simple and general formulation of the quantum game theory is presented, accommodating
all possible strategies in the Hilbert space for the first time. The theory is solvable for the two …

We analyze the spectral structure of a one-dimensional quantum mechanical system with
point interaction, which is known to be parametrized by the group U(2). Based on the …

We introduce a novel type of contrarian agent, the balancer, to the Galam model of opinion
dynamics, which features group-majority update, in order to account for the existence of …

We introduce a model of temporal evolution of political opinions which amounts to a dynamical
extension of Galam model in which the proportions of inflexibles are treated as dynamical …

We study the spectral statistics of systems of two-dimensional pseudointegrable billiards.
These systems are classically nonergodic, but nonseparable. It is found that such systems …