Horzela, A.; Blasiak, P.; Duchamp, G. E. H.; Penson, K. A. and Solomon, A. I.
(2004).
A product formula and combinatorial field theory.
In: Proceedings of the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11), 21-24 June 2004, Prague.
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Abstract
We treat the problem of normally ordering expressions involving the standard boson operators a, ay where [a; ay] = 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 eld theory. We apply these techniques to some examples related to specic physical Hamiltonians.
| Item Type: |
Conference Item
|
| Copyright Holders: |
2004 The Authors |
| Keywords: |
boson normal ordering; combinatorics |
| Academic Unit/Department: |
Science > Physical Sciences |
| Item ID: |
20813 |
| Depositing User: |
Astrid Peterkin
|
| Date Deposited: |
23 Mar 2010 10:54 |
| Last Modified: |
05 Dec 2010 05:39 |
| URI: |
http://oro.open.ac.uk/id/eprint/20813 |
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