0407252v1

related topics
{equation, function, exp}
{state, states, coherent}
{vol, operators, histories}
{group, space, representation}
{operator, operators, space}
{let, theorem, proof}
{field, particle, equation}

Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials

Vadim V. Borzov, Eugene V. Damaskinsky

abstract: We are continuing here the study of generalized coherent states of Barut-Girardello type for the oscillator-like systems connected with the given set of orthogonal polynomials. In this work we construct the family of coherent states associated with discrete $q$-Hermite polynomials of the II-type and prove the over-completeness of this family of states by constructing the measure for unity decomposition for this family of coherent states.

oai_identifier:
oai:arXiv.org:quant-ph/0407252
categories:
quant-ph
comments:
15pages, no figures
arxiv_id:
quant-ph/0407252
created:
2004-07-29

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