Horzela, A.; Blasiak, P.; Duchamp, G. E. H.; Penson, K. A. and Solomon, A. I.
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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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.
||2004 The Authors
||boson normal ordering; combinatorics
||Science > Physical Sciences
||23 Mar 2010 10:54
||05 Dec 2010 05:39
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