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The energy level statistics of Hamiltonian systems between integrability and chaos: The semiclassical limit

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  • Robnik, Marko

Abstract

During the past decade or so there has been growing theoretical, numerical and experimental support for the Bohigas-Giannoni-Schmit conjecture 1984 on the applicability of the random matrix theories statistics (GOE, GUE) in the classically ergodic quantal Hamiltonian systems. In the classically integrable systems the spectral fluctuations of the corresponding quantal Hamiltonians are well described by the Poissonian statistics.

Suggested Citation

  • Robnik, Marko, 1996. "The energy level statistics of Hamiltonian systems between integrability and chaos: The semiclassical limit," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 40(3), pages 159-179.
    • Handle: RePEc:eee:matcom:v:40:y:1996:i:3:p:159-179
    DOI: 10.1016/0378-4754(95)00030-5
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