Blasiak, P.; Penson, K.A. and Solomon, A.I.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1007/s00026-003-0177-z|
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For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for , with r, s positive integers, , i.e., we provide exact and explicit expressions for its normal form = , where in all a's are to the right. The solution involves integer sequences of numbers which, for , are generalizations of the conventional Bell and Stirling numbers whose values they assume for . A complete theory of such generalized combinatorial numbers is given including closed-form expressions (extended Dobinski-type formulas), recursion relations and generating functions. These last are special expectation values in boson coherent states.
|Item Type:||Journal Article|
|Copyright Holders:||2003 Birkhauser-Verlag|
|Extra Information:||Some of the symbols may not have transferred correctly into this bibliographic record.|
|Keywords:||boson normal order; Bell numbers; Stirling numbers; coherent states|
|Academic Unit/Department:||Science > Physical Sciences
|Depositing User:||Users 6041 not found.|
|Date Deposited:||11 Aug 2006|
|Last Modified:||14 Jan 2016 16:10|
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