dorsal/arxiv
View SchemaCoherent State Measures and the Extended Dobinski relations
| Authors | Karol A. Penson, Allan I. Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211061 |
| URL | https://arxiv.org/abs/quant-ph/0211061 |
| DOI | 10.1142/9789812704474_0005 |
Abstract
Conventional Bell and Stirling numbers arise naturally in the normal ordering of simple monomials in boson operators. By extending this process we obtain generalizations of these combinatorial numbers, defined as coherent state matrix elements of arbitrary monomials, as well as the associated Dobinski relations. These Bell-type numbers may be considered as power moments and give rise to positive measures which allow the explicit construction of new classes of coherent states.
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"abstract": "Conventional Bell and Stirling numbers arise naturally in the normal ordering\nof simple monomials in boson operators. By extending this process we obtain\ngeneralizations of these combinatorial numbers, defined as coherent state\nmatrix elements of arbitrary monomials, as well as the associated Dobinski\nrelations. These Bell-type numbers may be considered as power moments and give\nrise to positive measures which allow the explicit construction of new classes\nof coherent states.",
"arxiv_id": "quant-ph/0211061",
"authors": [
"Karol A. Penson",
"Allan I. Solomon"
],
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"quant-ph",
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],
"doi": "10.1142/9789812704474_0005",
"title": "Coherent State Measures and the Extended Dobinski relations",
"url": "https://arxiv.org/abs/quant-ph/0211061"
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