Horzela, A.; Blasiak, P.; Duchamp, G. E. H.; Penson, K. A. and Solomon, A. I.
(2004).
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| URL: | http://www1.jinr.ru/Proceedings/Burdik-2004/index.... |
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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 or Workshop Item |
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| Copyright Holders: | 2004 The Authors |
| Keywords: | boson normal ordering; combinatorics |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 20813 |
| Depositing User: | Astrid Peterkin |
| Date Deposited: | 23 Mar 2010 10:54 |
| Last Modified: | 30 Jun 2017 05:55 |
| URI: | http://oro.open.ac.uk/id/eprint/20813 |
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