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.
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.
||coherent states;Bell and Stirling numbers; combinatorics;Dobinski relation
||Science > Physical Sciences
||17 Jul 2007
||02 Dec 2010 20:01
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