One-parameter groups and combinatorial physics
Quantum Physics
2007-05-23 v1 Combinatorics
Abstract
In this communication, we consider the normal ordering of sums of elements of the form (a*^r a a*^s), where a* and a are boson creation and annihilation operators. We discuss the integration of the associated one-parameter groups and their combinatorial by-products. In particular, we show how these groups can be realized as groups of substitutions with prefunctions.
Keywords
Cite
@article{arxiv.quant-ph/0401126,
title = {One-parameter groups and combinatorial physics},
author = {Gerard Duchamp and Karol A. Penson and Allan I. Solomon and Andrej Horzela and Pawel Blasiak},
journal= {arXiv preprint arXiv:quant-ph/0401126},
year = {2007}
}
Comments
15 pages, 23 references. Presented at the Third International Workshop on Contemporary Problems in Mathematical Physics (COPROMAPH3), Porto-Novo (Benin), November 2003