Blasiak, Pawel; Horzela, Andrzej; Penson, Karol A.; Solomon, Allan I. and Duchamp, Gerard H.E.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1119/1.2723799|
|Google Scholar:||Look up in Google Scholar|
We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator. The solution of the problem is given in terms of Bell and Stirling numbers enumerating partitions of a set. This framework reveals several inherent relations between ordering problems and combinatorial objects, and displays the analytical background to Wick's theorem. The methodology can be straightforwardly generalized from the simple example we discuss to a wide class of operators.
|Item Type:||Journal Article|
|Keywords:||normal order;bosons; quantum mechanics; combinatorics|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Allan Solomon|
|Date Deposited:||06 Jul 2007|
|Last Modified:||02 Aug 2016 13:05|
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