7 citations · 10 across the 5 of their papers we have counts for
5 papers
Molecular-Coherent-States and Molecular-Fundamental-States
Michele Irac-Astaud
New families of Molecular-Coherent-States are constructed by the Perelomov group-method. Each family is generated by a Molecular-Fundamental-State that depends on an arbitrary sequ…
suq(2)-Invariant Schrodinger Equation of the Three-Dimensional 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…
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…
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…