dorsal/arxiv
View SchemaA product formula and combinatorial field theory
| Authors | A. Horzela, P. Blasiak, G. H. E. Duchamp, K. A. Penson, A. I. Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409152 |
| URL | https://arxiv.org/abs/quant-ph/0409152 |
Abstract
We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - essentially an extension of the Taylor expansion - leads to a double exponential formula which enables a powerful graphical description of the generating functions of the combinatorial sequences associated with such functions - in essence, a combinatorial field theory. We apply these techniques to some examples related to specific physical Hamiltonians.
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"abstract": "We treat the problem of normally ordering expressions involving the standard\nboson operators a, a* where [a,a*]=1. We show that a simple product formula for\nformal power series - essentially an extension of the Taylor expansion - leads\nto a double exponential formula which enables a powerful graphical description\nof the generating functions of the combinatorial sequences associated with such\nfunctions - in essence, a combinatorial field theory. We apply these techniques\nto some examples related to specific physical Hamiltonians.",
"arxiv_id": "quant-ph/0409152",
"authors": [
"A. Horzela",
"P. Blasiak",
"G. H. E. Duchamp",
"K. A. Penson",
"A. I. Solomon"
],
"categories": [
"quant-ph",
"math.CO"
],
"title": "A product formula and combinatorial field theory",
"url": "https://arxiv.org/abs/quant-ph/0409152"
},
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