134 citations · 1k across the 55 of their papers we have counts for
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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…
Construction of zero energy states in graphene through the supersymmetry formalism
Axel Schulze Halberg, Pinaki Roy
We devise a supersymmetry-based method for the construction of zero-energy states in graphene. Our method is applied to a two-dimensional massless Dirac equation with a hyperbolic…
Pseudo-Hermitian and PT -symmetric quantum systems with energy-dependent potentials: Bound-state solutions and energy spectra
Axel Schulze-Halberg, Pinaki Roy
We introduce generalized versions of complex Scarf and Morse-type potentials that con- tain energy-dependent parameters. PT -symmetry and pseudo-hermiticity of the associated quant…
Quantum models with energy-dependent potentials solvable in terms of exceptional orthogonal polynomials
Axel Schulze-Halberg, Pinaki Roy
We construct energy-dependent potentials for which the Schroedinger equations admit solu- tions in terms of exceptional orthogonal polynomials. Our method of construction is based…
Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials
B. Basu-Mallick, Bhabani Prasad Mandal, Pinaki Roy
By using the technique of supersymmetric quantum mechanics, we study a quasi exactly solvable extension of the N-particle rational Calogero model with harmonic confining interactio…
On zero energy states in graphene
C. -L. Ho, P. Roy
We obtain zero energy states in graphene for a number of potentials and discuss the relation of the decoupled Schrödinger-like equations for the the spinor components with non rela…