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Journal of Mathematical Physics : Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2

By Katsunori Kawamura

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Book Id: WPLBN0002169556
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 8 October 2008

Title: Journal of Mathematical Physics : Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2  
Author: Katsunori Kawamura
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Kawamura, K. (n.d.). Journal of Mathematical Physics : Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2. Retrieved from http://worldebookfair.com/


Description
Description: Bosons and fermions are described by using canonical generators of Cuntz algebras on any permutative representation. According to branching laws associated with these descriptions, a certain representation of the Cuntz algebra O2 induces Fock representations HB and HF of bosons and fermions simultaneously. From this, a unitary operator U from HB to HF is obtained. We show the explicit formula of the action of U on the standard basis of HB. It is shown that U preserves the particle number of HB and HF.

 

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