Blasiak, P.; Gawron, A.; Horzela, A.; Penson, K. A. and Solomon, A. I.
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.
||2006 Not known
||Presented at the 15th International Colloquium on “Integrable Systems and Quantum Symmetries”, Prague, 15–17 June 2006.
||boson normal ordering; coherent states; combinatorics; Dobiński relations
||Science > Physical Sciences
||31 May 2012 15:20
||30 Jan 2016 03:30
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