Combinatorial Solutions to Normal Ordering of Bosons
P. Blasiak, A. Gawron, A. Horzela, K. A. Penson, A. I. Solomon
Abstract
We present a combinatorial method of constructing solutions to the normal ordering of boson operators. Generalizations of standard combinatorial notions - the Stirling and Bell numbers, Bell polynomials and Dobinski relations - lead to calculational tools which allow to find explicitly normally ordered forms for a large class of operator functions.
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