126 citations · 256 across the 5 of their papers we have counts for
5 papers
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
Yves Grandati, Christiane Quesne
We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the ini…
Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials
Christiane Quesne
The existence of a novel enlarged shape invariance property valid for some rational extensions of shape-invariant conventional potentials, first pointed out in the case of the Mors…
Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd
C. Quesne
In a recent FTC by Tremblay {\sl et al} (2009 {\sl J. Phys. A: Math. Theor.} {\bf 42} 205206), it has been conjectured that for any integer value of , some novel exactly solvabl…
Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
Christiane Quesne
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparame…
A complex periodic QES potential and exceptional points
B. Bagchi, C. Quesne, R. Roychoudhury
We show that the complex -symmetric periodic potential , where is real and is a positive integer, is quasi-exactly solvable. For…