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20092026
most citedNonlinear localized modes in PT-symmetric Rosen-Morse potential well

101 citations · 870 across the 32 of their papers we have counts for

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5 papers · 1 filter

math-ph2013

Some Solvable Quantum Mechanical Models and Their Symmetries

Bikashkali Midya

This thesis is focused on some solvable quantum mechanical models and their associated symmetries.

math-ph2012★ 19 cited

Infinite families of (non)-Hermitian Hamiltonians associated with exceptional Jacobi polynomials

Bikashkali Midya, Barnana Roy

Using an appropriate change of variable, the Schrödinger equation is transformed into a second-order differential equation satisfied by recently discovered Jacobi type except…

math-ph2012★ 5 cited

Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials

Bikashkali Midya

Using the method of point canonical transformation, we derive some exactly solvable rationally extended quantum Hamiltonians which are non-Hermitian in nature and whose bound state…

math-ph2012★ 21 cited

Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry

Bikashkali Midya, Barnana Roy, Toshiaki Tanaka

We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in…

math-ph2010★ 29 cited

Position Dependent Mass Schroedinger Equation and Isospectral Potentials : Intertwining Operator approach

Bikashkali Midya, Barnana Roy, Rajkumar Roychoudhury

Here we have studied first and second-order intertwining approach to generate isospectral partner potentials of position-dependent (effective) mass Schroedinger equation. The secon…