A product formula and combinatorial field theory
量子物理
2007-05-23 v1 组合数学
摘要
We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - essentially an extension of the Taylor expansion - leads to a double exponential formula which enables a powerful graphical description of the generating functions of the combinatorial sequences associated with such functions - in essence, a combinatorial field theory. We apply these techniques to some examples related to specific physical Hamiltonians.
引用
@article{arxiv.quant-ph/0409152,
title = {A product formula and combinatorial field theory},
author = {A. Horzela and P. Blasiak and G. H. E. Duchamp and K. A. Penson and A. I. Solomon},
journal= {arXiv preprint arXiv:quant-ph/0409152},
year = {2007}
}
备注
Presented at the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11), Prague, Czech Republic, June 21-24, 2004. 17 pages, 36 references, 3 f