Boson-Fermion unification implemented by Wick calculus

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Abstract

We construct a transformation between Bose Fock space and Fermi Fock space that is super-symmetric in the sense that it converts Boson fields into Fermi fields over a fixed one-particle space h. The transformation the spectral splitting of h into a continuous direct integral of internal spaces. We present a theory of integration on the Fock spaces that is a natural generalization of the theory of quantum stochastic calculus and which we refer to as a Wick calculus.
Original languageEnglish
Pages (from-to)141-150
Number of pages10
JournalAdvanced Studies in Contemporary Mathematics (Kyungshang)
Volume11
Issue number2
Publication statusPublished - 2005

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