dorsal/arxiv
View SchemaGeneralized Coherent States for q-oscillator connected with discrete q-Hermite polynomials
| Authors | Vadim V. Borzov, Eugene V. Damaskinsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407252 |
| URL | https://arxiv.org/abs/quant-ph/0407252 |
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.
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"abstract": "We are continuing here the study of generalized coherent states of\nBarut-Girardello type for the oscillator-like systems connected with the given\nset of orthogonal polynomials. In this work we construct the family of coherent\nstates associated with discrete $q$-Hermite polynomials of the II-type and\nprove the over-completeness of this family of states by constructing the\nmeasure for unity decomposition for this family of coherent states.",
"arxiv_id": "quant-ph/0407252",
"authors": [
"Vadim V. Borzov",
"Eugene V. Damaskinsky"
],
"categories": [
"quant-ph"
],
"title": "Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials",
"url": "https://arxiv.org/abs/quant-ph/0407252"
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