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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.


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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.

Item Type: Journal Item
Copyright Holders: 2006 Not known
ISSN: 0011-4626
Extra Information: Presented at the 15th International Colloquium on “Integrable Systems and Quantum Symmetries”, Prague, 15–17 June 2006.
Keywords: boson normal ordering; coherent states; combinatorics; Dobiński relations
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 33715
Depositing User: Allan Solomon
Date Deposited: 31 May 2012 15:20
Last Modified: 06 Oct 2016 02:03
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