259 citations · 3.2k across the 85 of their papers we have counts for
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Semi-infinite quantum wells in a position-dependent mass background
C. Quesne
By using a point canonical transformation starting from the constant-mass Schrödinger equation for the Morse potential, it is shown that a semi-infinite quantum well model with a n…
So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation
Bijan Bagchi, Rahul Ghosh, Christiane Quesne
We investigate the (1+1)-dimensional position-dependent mass Dirac equation within the confines of so(2,1) potential algebra by utilizing the character of a spatial varying Fermi v…
Algebraic construction of associated functions of nondiagonalizable models with anharmonic oscillator complex interaction
I. Marquette, C. Quesne
A shape invariant nonseparable and nondiagonalizable two-dimensional model with anharmonic complex interaction, first studied by Cannata, Ioffe, and Nishnianidze, is re-examined wi…
Generalized semiconfined harmonic oscillator model with a position-dependent effective mas
C. Quesne
By using a point canonical transformation starting from the constant-mass Schrödinger equation for the isotonic potential, it is shown that a semiconfined harmonic oscillator model…
Comment on `Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter'
C. Quesne
In a recent paper by Jafarov, Nagiyev, Oste and Van der Jeugt (2020 {\sl J.\ Phys.\ A} {\bf 53} 485301), a confined model of the non-relativistic quantum harmonic oscillator, where…
Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
C. Quesne
We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödinger equation, which can be written in terms of the recently introduced Laguerre…