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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
Full article ▸
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