Entropy and quantum characteristic exponents. steps towards a quantum pesin theory

  • R. Vilela Mendes
Part I: Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 457)


Classical ergodic invariants like the Lyapunov exponent and the entropy, defined in a space of densities acted upon by the Perron-Frobenius operator, provide an intuitive framework to construct the corresponding notions in quantum mechanics.

Rigorous existence conditions obtained for quantum characteristic exponents and a definition of quantum entropy based on the Brin-Katok construction are steps towards a quantum ergodic theory, where a rigorous definition of quantum chaos may be established.


Lyapunov Exponent Characteristic Exponent Quantum Chaos Nuclear Space Quantum Entropy 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • R. Vilela Mendes
    • 1
  1. 1.Grupo de Física-MatemáticaComplexo II - Universidade de LisboaPortugal

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