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Combinatorial Solutions to Normal Ordering of Bosons

P. Blasiak·A. Gawron·A. Horzela·K. A. Penson·A. I. Solomon
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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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P. Blasiak, A. Gawron, A. Horzela, K. A. Penson, A. I. Solomon. 2005-10-12. Combinatorial Solutions to Normal Ordering of Bosons. https://doi.org/10.1007/s10582-006-0006-9

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