Blasiak, P.; Penson, K.A. and Solomon, A.I.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1016/S0375-9601(03)00194-4|
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We solve the boson normal ordering problem for F[(a†)ras], with r,s positive integers, [a,a†]=1, i.e., we provide exact and explicit expressions for its normal form Ν, where in Ν(F) all a's are to the right. The solution involves integer sequences of numbers which are generalizations of the conventional Bell and Stirling numbers whose values they assume for r=s=1. A comprehensive theory of such generalized combinatorial numbers is given including closed-form expressions (extended Dobinski-type formulas) and generating functions. These last are special expectation values in boson coherent states.
|Item Type:||Journal Article|
|Extra Information:||Some of the symbols may not have transferred correctly into this bibliographic record.|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
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|Date Deposited:||03 Aug 2006|
|Last Modified:||02 Aug 2016 12:59|
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