activity
19952023
most citedDeformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem

259 citations · 3.2k across the 85 of their papers we have counts for

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Showing 2005 · quant-phShow all

8 papers · 2 filters

quant-ph2005★ 2 cited

Hamiltonians with position-dependent mass, deformations and supersymmetry

C. Quesne, B. Bagchi, A. Banerjee +1

A new method for generating exactly solvable Schrödinger equations with a position-dependent mass is proposed. It is based on a relation with some deformed Schrödinger equations, w…

quant-ph2005★ 22 cited

Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework

B. Bagchi, C. Quesne, R. Roychoudhury

We formulate a systematic algorithm for constructing a whole class of Hermitian position-dependent-mass Hamiltonians which, to lowest order of perturbation theory, allow a descript…

quant-ph2005★ 52 cited

Pseudo-Hermiticity and some consequences of a generalized quantum condition

B. Bagchi, C. Quesne, R. Roychoudhury

We exploit the hidden symmetry structure of a recently proposed non-Hermitian Hamiltonian and of its Hermitian equivalent one. This sheds new light on the pseudo-Hermitian characte…

quant-ph2005★ 123 cited

First-order intertwining operators and position-dependent mass Schrodinger equations in d dimensions

C. Quesne

The problem of d-dimensional Schrodinger equations with a position-dependent mass is analyzed in the framework of first-order intertwining operators. With the pair (H, H_1) of inte…

quant-ph2005★ 13 cited

PT-supersymmetric partner of a short-range square well

C. Quesne, B. Bagchi, S. Mallik +3

In a box of size , a spatially antisymmetric square-well potential of a purely imaginary strength and size is interpreted as an initial element of the SUSY hi…

quant-ph2005★ 52 cited

New approach to (quasi)-exactly solvable Schrodinger equations with a position-dependent effective mass

B. Bagchi, P. Gorain, C. Quesne +1

By using the point canonical transformation approach in a manner distinct from previous ones, we generate some new exactly solvable or quasi-exactly solvable potentials for the one…