Physics – Quantum Physics
Scientific paper
2002-11-06
Physics
Quantum Physics
4 pages. Proceedings of Group 24, Paris, July 2002
Scientific paper
We derive explicit formulas for the normal ordering of powers of arbitrary monomials of boson operators. These formulas lead to generalisations of conventional Bell and Stirling numbers and to appropriate generalisations of the Dobinski relations. These new combinatorial numbers are shown to be coherent state matrix elements of powers of the monomials in question. It is further demonstrated that such Bell-type numbers, when considered as power moments, give rise to positive measures on the positive half-axis, which in many cases can be written in terms of known functions.
Penson Karol A.
Solomon Allan I.
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