134 citations · 1k across the 55 of their papers we have counts for
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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…
Potential Algebra Approach to Quantum Mechanics with Generalized Uncertainty Principle
Satoshi Ohya, Pinaki Roy
In this note, we study the potential algebra for several models arising out of quantum mechanics with generalized uncertainty principle. We first show that the eigenvalue equation…
Generalized Dirac Oscillators with position-dependent mass
C. -L. Ho, P. Roy
We study the dimensional generalized Dirac oscillator with a position-dependent mass. In particular, bound states with zero energy as well as non zero energy have been obta…
Bound states of the two-dimensional Dirac equation for an energy-dependent hyperbolic Scarf potential
A. Schulze-Halberg, P. Roy
We study the two-dimensional massless Dirac equation for a potential that is allowed to depend on the energy and on one of the spatial variables. After determining a modified ortho…