134 citations · 1k across the 55 of their papers we have counts for
55 papers
Neutron Star properties in gravity
Pinaki Roy, Bharat Kumar
In this work, we systematically derive the Einstein field equations in general relativity and gravity, the Tolman-Oppenheimer-Volkoff (TOV) equation, and the expre…
Darboux transformations for Dunkl-Schroedinger equations with energy dependent potential and position dependent mass
Axel Schulze-Halberg, Pinaki Roy
We construct arbitrary-order Darboux transformations for Schroedinger equations with energy-dependent potential and position-dependent mass within the Dunkl formalism. Our construc…
Zero energy states of Dirac equation in -dimensional curved spacetime
Choon-Lin Ho, Pinaki Roy
We consider Dirac equation in dimensional curved spacetime in the presence of a scalar potential. It is then shown that the zero energy states are degenerate and they can b…
Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators
Axel Schulze-Halberg, Pinaki Roy
We construct a Darboux transformation for a class of two-dimensional Dirac systems at zero energy. Our starting equation features a position-dependent mass, a matrix potential, and…
Angular momentum quantum backflow in the noncommutative plane
V. D. Paccoia, O. Panella, P. Roy
We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting…
Time dependent rationally extended Poschl-Teller potential and some of its properties
D. Nath, P. Roy
We examine time dependent Schrodinger equation with oscillating boundary condition. More specifically, we use separation of variable technique to construct time dependent rational…