Irreversibility and Dissipativity of Quantum Systems

  • I. Prigogine
  • A. P. Grecos


We review some basic properties of the general collision operator as defined in our theory and its relation to the invariants of the motion of a large quantum system. The necessity of the dissipativity condition is shown for the possibility of kinetic description where the L · t-invariance of the von Neumann equation is broken. We illustrate this condition by a number of simple models where the collision operator can be calculated in a rigorous (non-perturbative) way.


Quantum System Continuous Spectrum Null Space Collision Operator Kinetic Description 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • I. Prigogine
    • 1
    • 2
  • A. P. Grecos
    • 1
  1. 1.Faculté des SciencesUniversité Libre de BruxellesBrusselsBelgium
  2. 2.Center for Statistical Mechanics and ThermodynamicsThe University of Texas at AustinAustinUSA

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