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Communications in Mathematical Physics

, Volume 9, Issue 4, pp 293–302 | Cite as

Quasi-free states of the C.C.R.—Algebra and Bogoliubov transformations

  • J. Manuceau
  • A. Verbeure
Article

Abstract

We give a complete characterization of quasi-free states (generalized free states) of the C.C.R. algebra. We prove that the pure quasi-free states areall Fock states and that any two Fock states are related through a symplectic automorphism (Bogoliubov transformation). We make an explicit construction of these representations which correspond to primary quasi-free states.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1968

Authors and Affiliations

  • J. Manuceau
    • 1
  • A. Verbeure
    • 1
  1. 1.Centre de Physique ThéoriqueUniversity of Aix-MarseilleFrance

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