White noise distribution theory for the Fermion system
نویسنده
چکیده
In this paper, we give the white noise calculus for the Fermion system and prove the Fock expansion for any continuous linear operators from the space of test functionals to the space of generalized functionals. As an application of the Fock expansion, we give a necessary and sufficient condition for implementability of Bogoliubov automorphisms on Z2-invariant subalgebra of canonical anti-commutation relations algebra.
منابع مشابه
On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system
JAPAN In this paper, we consider Bogoliubov automorphisms of CAR algebra and we give imple-menters as continuous linear operators on the white noise (test or generalized) functionals for the Fermion system with the help of the Fock expansion.
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