Wick's theorem for q-deformed boson operators

Abstract

In this paper combinatorial aspects of normal ordering 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.

9 pages

References in corpus (11)

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Cited by in corpus (2)

• Weight-dependent commutation relations and combinatorial identities
• Dually weighted Stirling-type sequences