Coherent State Measures and the Extended Dobinski relations

Physics – Quantum Physics

Scientific paper

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PDF. 10 Pages. Proceedings of the Seventh International School of Theoretical Physics "Symmetry and Structural Properties of C

Scientific paper

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.

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