31 citations · 111 across the 10 of their papers we have counts for
13 papers · 1 filter
Comment on "Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty"
Bijan Bagchi, Andreas Fring
We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] co…
A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models
Bijan Bagchi, Toshiaki Tanaka
A generalized non-Hermitian oscillator Hamiltonian is proposed that consists of additional linear terms which break PT-symmetry explicitly. The model is put into an equivalent Herm…
Position-dependent mass models and their nonlinear characterization
B. Bagchi
We consider the specific models of Zhu-Kroemer and BenDaniel-Duke in a sech-mass background and point out interesting correspondences with the stationary 1-soliton and 2-soli…
Morse potential and its relationship with the Coulomb in a position-dependent mass background
B. Bagchi, P. S. Gorain, C. Quesne
We provide some explicit examples wherein the Schrödinger equation for the Morse potential remains exactly solvable in a position-dependent mass background. Furthermore, we show ho…
PT-symmetric quartic anharmonic oscillator and position-dependent mass in a perturbative approach
B. Bagchi, A. Banerjee, C. Quesne
To lowest order of perturbation theory we show that an equivalence can be established between a -symmetric generalized quartic anharmonic oscillator model and a Hermitian…
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…