dorsal/arxiv
View SchemaWick's theorem for q-deformed boson operators
| Authors | Toufik Mansour, Matthias Schork, Simone Severini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703086 |
| URL | https://arxiv.org/abs/quant-ph/0703086 |
| DOI | 10.1088/1751-8113/40/29/014 |
| Journal | J. Phys. A: Math. Theor. 40 (2007) 8393-8401 |
Abstract
In this paper combinatorial aspects of normal ordering arbitrary words in the creation and annihilation operators of the q-deformed boson are discussed. In particular, it is shown how by introducing appropriate q-weights for the associated ``Feynman diagrams'' the normally ordered form of a general expression in the creation and annihilation operators can be written as a sum over all q-weighted Feynman diagrams, representing Wick's theorem in the present context.
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"abstract": "In this paper combinatorial aspects of normal ordering arbitrary words in the\ncreation and annihilation operators of the q-deformed boson are discussed. In\nparticular, it is shown how by introducing appropriate q-weights for the\nassociated ``Feynman diagrams\u0027\u0027 the normally ordered form of a general\nexpression in the creation and annihilation operators can be written as a sum\nover all q-weighted Feynman diagrams, representing Wick\u0027s theorem in the\npresent context.",
"arxiv_id": "quant-ph/0703086",
"authors": [
"Toufik Mansour",
"Matthias Schork",
"Simone Severini"
],
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"quant-ph"
],
"doi": "10.1088/1751-8113/40/29/014",
"journal_ref": "J. Phys. A: Math. Theor. 40 (2007) 8393-8401",
"title": "Wick\u0027s theorem for q-deformed boson operators",
"url": "https://arxiv.org/abs/quant-ph/0703086"
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