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Wick's theorem for q-deformed boson operators

Mansour, T; Schork, M; Severini, S; (2007) Wick's theorem for q-deformed boson operators. J PHYS A-MATH THEOR , 40 (29) 8393 - 8401. 10.1088/1751-8113/40/29/014.

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Abstract

In this paper, combinatorial aspects of normal ordering of arbitrary words in the creation and annihilation operators of the q-deformed boson are discussed. In particular, it is shown how, by introducing appropriate q-weights for the associated ' Feynman diagrams', the normally ordered form of a general expression in the creation and annihilation operators can be written as a sum over all q-weighted Feynman diagrams, representing Wick's theorem in the present context.

Type: Article
Title: Wick's theorem for q-deformed boson operators
DOI: 10.1088/1751-8113/40/29/014
Keywords: NORMAL ORDERING PROBLEM, STIRLING NUMBERS, COHERENT STATES, COMBINATORICS, POLYNOMIALS, ALGEBRA
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/404700
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