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Deformed bosons: combinatorics of normal ordering

Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2004). Deformed bosons: combinatorics of normal ordering. Czechoslovak Journal of Physics, 54(11) pp. 1179–1184.

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We solve the normal ordering problem for (A A)n where A and A are one mode deformed ([A,A] = [N+1] – [N]) bosonic ladder operators. The solution generalizes results known for canonical bosons. It involves combinatorial polynomials in the number operator N for which the generating function and explicit expressions are found. Simple deformations provide examples of the method.

Item Type: Journal Item
Copyright Holders: Not known
ISSN: 1572-9486
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetPolish Ministry of Scientific Research and Information Technology under Grant no: 1P03B 051 26.
Extra Information: Presented at the 13th International Colloquium on "Integrable Systems and Quantum Groups", Prague, 17-09 June 2004
Keywords: boson normal ordering; combinatorics
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 7398
Depositing User: Allan Solomon
Date Deposited: 10 Apr 2007
Last Modified: 07 Dec 2018 09:02
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