Penson, Karol A. and Solomon, Allan I.
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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|
|Keywords:||coherent states;Bell and Stirling numbers; combinatorics;Dobinski relation|
|Academic Unit/Department:||Science > Physical Sciences|
|Depositing User:||Allan Solomon|
|Date Deposited:||17 Jul 2007|
|Last Modified:||02 Dec 2010 20:01|
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