Dobiński relations and ordering of boson operators

Blasiak, P.; Gawron, A.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2006). Dobiński relations and ordering of boson operators. Czechoslovak Journal of Physics, 56(10-11) pp. 1093–1098.

DOI: https://doi.org/10.1007/s10582-006-0407-9

URL: http://www.springerlink.com/content/r6300137365l44...

Abstract

We introduce a generalization of the Dobiński relation, through which we define a family of Bell-type numbers and polynomials. Such generalized Dobiński relations are coherent state matrix elements of expressions involving boson ladder operators. This may be used in order to obtain normally ordered forms of polynomials in creation and annihilation operators, both if the latter satisfy canonical and deformed commutation relations.

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