Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I.
Deformed bosons: combinatorics of normal ordering.
Czechoslovak Journal of Physics, 54(11) pp. 1179–1184.
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.
|External Project Funding Details:
|Funded Project Name||Project ID||Funding Body|
|Not Set||Not Set||Polish Ministry of Scientific Research and Information Technology under Grant no: 1P03B 051 26.|
||Presented at the 13th International Colloquium on "Integrable Systems and Quantum Groups", Prague, 17-09 June 2004
||boson normal ordering; combinatorics
||Science > Physical Sciences
||10 Apr 2007
||05 Jul 2011 10:49
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