Communications in Mathematical Physics

, Volume 58, Issue 3, pp 273–290 | Cite as

Passive states and KMS states for general quantum systems

  • W. Pusz
  • S. L. Woronowicz


We characterize equilibrium states of quantum systems by a condition of passivity suggested by the second principle of thermodynamics. Ground states and β-KMS states for all inverse temperatures β≧0 are completely passive. We prove that these states are the only completely passive ones. For the special case of states describing pure phases, assuming the passivity we reproduce the results of Haag et al.


Neural Network Statistical Physic Equilibrium State Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • W. Pusz
    • 1
  • S. L. Woronowicz
    • 1
  1. 1.Department of Mathematical Methods in PhysicsUniversity of WarsawWarszawaPoland

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