Blasiak, P.; Gawron, A.; Horzela, A.; Penson, K. A. and Solomon, A. I.
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|DOI (Digital Object Identifier) Link:||http://doi.org/10.1007/s10582-006-0407-9|
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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 Article|
|Copyright Holders:||2006 Not known|
|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/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Allan Solomon|
|Date Deposited:||31 May 2012 15:20|
|Last Modified:||04 Aug 2016 10:07|
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Dobiński relations and ordering of boson operators. (deposited 10 Apr 2007)
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