dorsal/arxiv
View SchemaDeformed Bosons: Combinatorics of Normal Ordering
| Authors | P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410226 |
| URL | https://arxiv.org/abs/quant-ph/0410226 |
| DOI | 10.1007/s10582-004-9776-0 |
Abstract
We solve the normal ordering problem for (A* A)^n where A* (resp. A) are one mode deformed bosonic creation (resp. annihilation) operators satisfying [A,A*]=[N+1]-[N]. The solution generalizes results known for canonical and q-bosons. It involves combinatorial polynomials in the number operator N for which the generating functions and explicit expressions are found. Simple deformations provide examples of the method.
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"abstract": "We solve the normal ordering problem for (A* A)^n where A* (resp. A) are one\nmode deformed bosonic creation (resp. annihilation) operators satisfying\n[A,A*]=[N+1]-[N]. The solution generalizes results known for canonical and\nq-bosons. It involves combinatorial polynomials in the number operator N for\nwhich the generating functions and explicit expressions are found. Simple\ndeformations provide examples of the method.",
"arxiv_id": "quant-ph/0410226",
"authors": [
"P. Blasiak",
"A. Horzela",
"K. A. Penson",
"A. I. Solomon"
],
"categories": [
"quant-ph",
"math.CO"
],
"doi": "10.1007/s10582-004-9776-0",
"title": "Deformed Bosons: Combinatorics of Normal Ordering",
"url": "https://arxiv.org/abs/quant-ph/0410226"
},
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