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Dobiński relations and ordering of boson operators |
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| Authors: | P Blasiak A Gawron A Horzela K A Penson A I Solomon |
| Institution: | 1. H. Niewodniczański Institute of Nuclear Physics, Polish Acad. Sci., ul. Eliasza-Radzikowskiego 152, PL 31342, Kraków, Poland 2. Laboratoire de Physique Théorique de la Matière Condensée, Université P. et M. Curie, Tour 24 — 2e ét., 4 Pl. Jussieu, F 75252, Paris Cedex 05, France 3. Physics and Astronomy Department, The Open University, MK7 6AA, Milton Keynes, United Kingdom |
| 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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