Combinatorial Solutions to Normal Ordering of Bosons
量子物理
2010-12-30 v1
摘要
We present a combinatorial method of constructing solutions to the normal ordering of boson operators. Generalizations of standard combinatorial notions - the Stirling and Bell numbers, Bell polynomials and Dobinski relations - lead to calculational tools which allow to find explicitly normally ordered forms for a large class of operator functions.
引用
@article{arxiv.quant-ph/0510082,
title = {Combinatorial Solutions to Normal Ordering of Bosons},
author = {P. Blasiak and A. Gawron and A. Horzela and K. A. Penson and A. I. Solomon},
journal= {arXiv preprint arXiv:quant-ph/0510082},
year = {2010}
}
备注
Presented at 14th Int. Colloquium on Integrable Systems, Prague, Czech Republic, 16-18 June 2005. 6 pages, 11 references