Deformed Bosons: Combinatorics of Normal Ordering

Details Deformed Bosons: Combinatorics of Normal Ordering Deformed Bosons: Combinatorics of Normal Ordering

2004-10-27

arxiv.org/abs/quant-ph/0410226v1

Physics

Quantum Physics

Presented at the 13th International Colloquium on Quantum Groups and Integrable Systems, Prague, 2004, Czechoslovak Journal of

Scientific paper

10.1007/s10582-004-9776-0

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

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