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.

DOI: https://doi.org/10.1007/s10582-004-9776-0

Abstract

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.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI