Horzela, A.; Blasiak, P.; Duchamp, G. E. H.; Penson, K. A. and Solomon, A. I.
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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
|Depositing User:||Astrid Peterkin|
|Date Deposited:||23 Mar 2010 10:54|
|Last Modified:||22 Jan 2016 18:17|
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