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Coherent State Measures and the Extended Dobinski relations

Penson, Karol A. and Solomon, Allan I. (2003). Coherent State Measures and the Extended Dobinski relations. In: Lulek, B; Lulek, T and Wal, A eds. Symetry and structural properties of condensed matter, Volume 1. Singapore: World Scientific Publishing, pp. 64–73.

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Conventional Bell and Stirling numbers arise naturally in the normal ordering of simple monomials in boson operators. By extending this process we obtain generalizations of these combinatorial numbers, defined as coherent state matrix elements of arbitrary monomials, as well as the associated Dobinski relations. These Bell-type numbers may be considered as power moments and give rise to positive measures which allow the explicit construction of new classes of coherent states.

Item Type: Book Chapter
ISBN: 981-238-272-0, 978-981-238-272-6
Keywords: coherent states;Bell and Stirling numbers; combinatorics;Dobinski relation
Academic Unit/Department: Science > Physical Sciences
Item ID: 8576
Depositing User: Allan Solomon
Date Deposited: 17 Jul 2007
Last Modified: 02 Dec 2010 20:01
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