A product formula and combinatorial field theory

Details A product formula and combinatorial field theory A product formula and combinatorial field theory

2004-09-22

arxiv.org/abs/quant-ph/0409152v1

Physics

Quantum Physics

Presented at the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11), Prague, Czech Republic, June 21-24,

Scientific paper

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.

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