Deformed Bosons: Combinatorics of Normal Ordering
Quantum Physics
2009-11-10 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.quant-ph/0410226,
title = {Deformed Bosons: Combinatorics of Normal Ordering},
author = {P. Blasiak and A. Horzela and K. A. Penson and A. I. Solomon},
journal= {arXiv preprint arXiv:quant-ph/0410226},
year = {2009}
}
Comments
Presented at the 13th International Colloquium on Quantum Groups and Integrable Systems, Prague, 2004, Czechoslovak Journal of Physics (2004, in press). 6 pages, 7 references