259 citations · 3.2k across the 85 of their papers we have counts for
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More on an exactly solvable position-dependent mass Schroedinger equation in two dimensions: Algebraic approach and extensions to three dimensions
C. Quesne
An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theo…
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…
Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics
Christiane Quesne, Volodymyr M. Tkachuk
Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation. The corre…