Wick's theorem for q-deformed boson operators

Toufik Mansour, Matthias Schork, Simone Severini

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number014
Pages (from-to)8393-8401
Number of pages9
JournalJournal of Physics A: Mathematical and Theoretical
Issue number29
StatePublished - 20 Jul 2007

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (all)


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