A product formula and combinatorial field theory

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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.
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

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Quantum Physics, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/92393

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0409152
 http://arxiv.org/abs/quant-ph/0409152

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arXiv