5 citations · 12 across the 4 of their papers we have counts for
4 papers
suq(2)-Invariant Harmonic Oscillator
M. Irac-Astaud, C. Quesne
We propose a q-deformation of the su(2)-invariant Schrodinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and…
Unitary representations of the quantum algebra su_q(2) on a real two-dimensional sphere for or generic
M. Irac-Astaud, C. Quesne
Some time ago, Rideau and Winternitz introduced a realization of the quantum algebra su_q(2) on a real two-dimensional sphere, or a real plane, and constructed a basis for its repr…
Unitary Representations of Su_q(2) on the Plane for q in R+ or Generic q in S1
M. Irac-Astaud, C. Quesne
Some time ago, Rideau and Winternitz introduced a realization of the quantum algebra su_q(2) on a real two-dimensional sphere, or a real plane, and constructed a basis for its repr…
Bargmann representations for deformed harmonic oscillators
M. Irac-Astaud, G. Rideau
Generalizing the case of the usual harmonic oscillator, we look for Bargmann representations corresponding to deformed harmonic oscillators. Deformed harmonic oscillator algebras a…