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Spectral fluctuation properties of Hamiltonian systems: the transition region between order and chaos

1985; Institute of Physics; Volume: 18; Issue: 14 Linguagem: Inglês

10.1088/0305-4470/18/14/026

1361-6447

T. H. Seligman, J. J. M. Verbaarschot, Martin R. Zirnbauer,

Theoretical and Computational Physics

The authors study numerically the classical dynamical behaviour, and the spectral fluctuation properties, of a class of Hamiltonian systems with two degrees of freedom. The quantum mechanical properties of these systems are monotonic but non-universal functions of the fraction of classical phase space filled by chaotic trajectories. It is found that the observed spectral fluctuation measures can be reproduced by a random-matrix model which depends on one parameter only.