12 citations · 14 across the 4 of their papers we have counts for
4 papers
Deformed Harmonic Oscillator Algebras defined by their Bargmann representations
M. Irac-Astaud, G. Rideau
Deformed Harmonic Oscillator Algebras are generated by four operators, two mutually adjoint and , and two self-adjoint and the unity such as: $[a,N] = a, [a^…
Deformed harmonic oscillators : coherent states and Bargmann representations
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…
Classification of the quantum deformation of the superalgebra
L. Frappat, V. Hussin, G. Rideau
We present a classification of the possible quantum deformations of the supergroup and its Lie superalgebra . In each case, the (super)commutation relations and…
Spherical Functions for the Quantum Group su_q(2)
P. Winternitz, G. Rideau
The representation theory of the quantum group su is used to introduce -analogues of the Wigner rotation matrices, spherical functions, and Legendre polynomials. The meth…