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q-alg1997
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^…
q-alg1997★ 2 cited
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…
q-alg1996★ 1 cited
A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance
M. Irac-Astaud
We define a three-parameter deformation of the Weyl-Heisenberg algebra that generalizes the q-oscillator algebra. By a purely algebraical procedure, we set up on this quantum space…