Publication
Physical Review Letters
Paper

Classical quantization of a hamiltonian with ergodic behavior

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Abstract

Conservative Hamiltonian systems with two degrees of freedom are discussed where a typical trajectory fills the whole surface of constant energy. The trace of the quantum mechanical Green's function is approximated by a sum over classical periodic orbits. This leads directly to Selberg's trace formula for the motion of a particle on a surface of constant negative curvature, and, when applied to the anisotropic Kepler problem, yields excellent results for all the energy levels. © 1980 The American Physical Society.

Date

21 Jul 1980

Publication

Physical Review Letters

Authors

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