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Phys. Rev. Lett. 64, 1479–1482 (1990)

Dynamical quasidegeneracies and separation of regular and irregular quantum levels

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O. Bohigas, S. Tomsovic, and D. Ullmo
Division de Physique Théorique, Institut de Physique Nucléaire, 91406 Orsay CEDEX, France
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
Department of Chemistry, BG-10, University of Washington, Seattle, Washington 98195

See Also: Erratum

Received 4 August 1989; published in the issue dated 26 March 1990

Dynamical quasidegeneracies may arise in the spectrum of systems having discrete symmetries. They are semiclassically interpreted as quantized congruent but distinct tori in phase space. With them the separation of regular and irregular states in the quantum spectrum of some mixed phase-space systems may be performed in a simple yet clear fashion. At finite energies (h finite), the frontier between regular and irregular states is not sharp. This is illustrated by the study of two coupled quartic oscillators.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.64.1479
DOI:
10.1103/PhysRevLett.64.1479
PACS:
05.45.+b, 03.65.Ge, 03.65.Sq

See Also

Erratum: O. Bohigas, S. Tomsovic, and D. Ullmo, Dynamical Quasidegeneracies and Separation of Regular and Irregular Quantum Levels, Phys. Rev. Lett. 65, 1692 (1990).