A product formula and combinatorial field theory
| dc.creator | Horzela, A. | |
| dc.creator | Blasiak, P. | |
| dc.creator | Duchamp, G. H. E. | |
| dc.creator | Penson, K. A. | |
| dc.creator | Solomon, A. I. | |
| dc.date | 2004-09-22 | |
| dc.date.accessioned | 2026-07-07T06:10:56Z | |
| dc.date.available | 2026-07-07T06:10:56Z | |
| dc.description | 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0409152 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0409152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92393 | |
| dc.subject | Quantum Physics | |
| dc.subject | Combinatorics | |
| dc.title | A product formula and combinatorial field theory | |
| dc.type | text |