On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system

2005/12/20 by Yoshihito Shimada, Shimada, Yoshihito
Mathematics · Physics and Astronomy · #46F25 #81R10 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:46F25 #msc:81R10

paper · pdf · doi:10.48550/arxiv.math-ph/0512065

arxiv created 2005/12/20 · arxiv updated 2009/12/01

Abstract

In this paper, we consider Bogoliubov automorphisms of CAR algebra and we give implementers as continuous linear operators on the white noise (test or generalized) functionals for the Fermion system with the help of the Fock expansion.

Related

• White noise distribution theory for the Fermion system
• Bogoliubov Transformations Beyond Shale-Stinespring: Generic v^* v for bosons
• Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms
• On irreducibility of the energy representation of the gauge group and the white noise distribution theory
• Implementing Bogoliubov Transformations Beyond the Shale-Stinespring Condition