3 papers
math-ph2026
Algebraic approach to a -dimensional matrix Hamiltonian with so( symmetry
Christiane Quesne
A novel spin-extended so(,1) algebra is introduced and shown to provide an interesting framework for discussing the properties of a -dimensional matrix Hamiltonian with spi…
math-ph2025
-step rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
Yves Grandati, Christiane Quesne
A previous construction of regular rational extensions of the trigonometric Darboux-Pöschl-Teller potential, obtained by one-step Darboux transformations using seed functions asso…
math-ph2025
Dynamical and invariance algebras of the -dimensional Dunkl-Coulomb problem
Christiane Quesne
It is shown that the rich algebraic structure of the standard -dimensional Coulomb problem can be extended to its Dunkl counterpart. Replacing standard derivatives by Dunkl ones…