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Recursion Relation for Wick Products of the CCR Algebra
Authors:Benito J González  Emilio R Negrin
Institution:(1) Departamento de Análisis Matemático, Universidad de La Laguna, E-38271 La Laguna, Islas Canarias, Spain
Abstract:In this paper we obtain an explicit recursion relation for the Wick products of the CCR algebra in terms of Wick products of lesser order and the Bose fields. From this formula we prove that the Fock (vacuum) state vanishes for the commutation of the Wick products of order n and the Bose fields,being $$n\, \in\, {\mathbb N}$$, n > 1. Partially supported by Ministerio de Educación y Ciencia (Spain), MTM2007-65604.
Keywords:" target="_blank">    Wick products  CCR algebra  Bose fields  Fock (vacuum) state
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