On Quasifree States of CAR and Bogoliubov Automorphisms

Huzihiro Araki

Publications of the Research Institute for Mathematical Sciences · 1970 · 260 citations · 13 references

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Abstract

A necessary and sufficient condition for two quasifree states of CAR to be quasiequivalent is obtained. Quasif ree states is characterized as the unique KMS state of a Bogoliubov automorphism of CAR. The structure of the group of all inner Bogoliubov automorphisms of CAR is clarified.

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