Wick's theorem for q-deformed boson operators

Details Wick's theorem for q-deformed boson operators Wick's theorem for q-deformed boson operators

2007-03-11

arxiv.org/abs/quant-ph/0703086v1

J. Phys. A: Math. Theor. 40 (2007) 8393-8401

Physics

Quantum Physics

9 pages

Scientific paper

10.1088/1751-8113/40/29/014

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.

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