C. Quesne

activity

20232026

collaborators

3 papers

math-ph2026

Jacobi exceptional orthogonal polynomials for extended Scarf I potentials with position-dependent mass

Christiane Quesne

We show that the Scarf I potential problem in a position-dependent mass background of the type $m (α; x) = (1 + α sin x)^{- 2}$ , $0 < α < 1$ , can be solved by using a point canonical tran…

math-ph2025

Rationally-extended radial harmonic oscillator in a position-dependent mass background

Christiane Quesne

We show that the radial harmonic oscillator problem in the position-dependent mass background of the type $m (α; r) = (1 + α r^{2})^{- 2}$ , $α > 0$ , can be solved by using a point canonical…

math-ph2023

Rational extensions of an oscillator-shaped quantum well potential in a position-dependent mass background

C. Quesne

We show that a recently proposed oscillator-shaped quantum well model associated with a position-dependent mass can be solved by applying a point canonical transformation to the co…