259 citations · 3.2k across the 85 of their papers we have counts for
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Oscillator-Morse-Coulomb mappings and algebras for constant or position-dependent mass
C. Quesne
The bound-state solutions and the su(1,1) description of the -dimensional radial harmonic oscillator, the Morse and the -dimensional radial Coulomb Schrödinger equations are…
Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
Christiane 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…
Non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations
C. Quesne
The family of metric operators, constructed by Musumbu {\sl et al} (2007 {\sl J. Phys. A: Math. Theor.} {\bf 40} F75), for a harmonic oscillator Hamiltonian augmented by a non-Herm…
Spectrum generating algebras for position-dependent mass oscillator Schrodinger equations
C. Quesne
The interest of quadratic algebras for position-dependent mass Schrödinger equations is highlighted by constructing spectrum generating algebras for a class of d-dimensional radial…
Abrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions
C. Quesne
We consider a particle with a position-dependent mass, moving in a three-dimensional semi-infinite parallelepipedal or cylindrical channel under the influence of some hyperbolic po…