Bargmann representation for some deformed harmonic oscillators with non-Fock representation
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We prove that Bargmann representations exist for some deformed harmonic oscillators that admit non-Fock representations. In specific cases, we explicitly obtain the resolution of the identity in terms of a true integral on the complex plane. We prove on explicit examples that Bargmann representations cannot always be found, particularly when the coherent states do not exist in the whole complex plane.
Keywords
Cite
@article{arxiv.q-alg/9703009,
title = {Bargmann representation for some deformed harmonic oscillators with non-Fock representation},
author = {M. Irac-Astaud and G. Rideau},
journal= {arXiv preprint arXiv:q-alg/9703009},
year = {2008}
}
Comments
Latex 15 pages L.P.T.M.C. Univ. Denis Diderot Paris