141 citations · 1.9k across the 71 of their papers we have counts for
71 papers
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…
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…
-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 assoc…
Quasi-exactly solvable potentials in Wigner-Dunkl quantum mechanics
C. Quesne
It is shown that the Dunkl harmonic oscillator on the line can be generalized to a quasi-exactly solvable one, which is an anharmonic oscillator with known eigenstates for an…
Connecting Exceptional Orthogonal Polynomials of Different Kind
Christiane Quesne
The known asymptotic relations interconnecting Jacobi, Laguerre, and Hermite classical orthogonal polynomials are generalized to the corresponding exceptional orthogonal polynomial…
Revisiting an isospectral extension of the Morse potential
C. Quesne
A very simple method is devised to derive a (strictly) isospectral extension of the Morse potential. Furthermore, point canonical transformations are used to transform the latter i…