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Blasiak, P.; Gawron, A.; Horzela, A.; Penson, K. A.; Solomon, A. I.

Dobiński relations and ordering of boson operators. (English) Zbl 1118.81054

Czech. J. Phys. 56, No. 10-11, 1093-1098 (2006).
Summary: 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 satiny canonical and deformed commutation relations.

Cited in 2 Documents

MSC:

81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81R30 Coherent states

Keywords:

boson normal ordering; coherent states; combinatorics; Dobiński relations
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References:

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