title: Quantization of chaotic systems.
abstract: Starting from the semiclassical dynamical zeta function for chaotic Hamiltonian systems we use a combination of the cycle expansion method and a functional equation to obtain highly excited semiclassical eigenvalues. The power of this method is demonstrated for the anisotropic Kepler problem, a strongly chaotic system with good symbolic dynamics. An application of the transfer matrix approach of Bogomolny is presented leading to a significant reduction of the classical input and to comparable accuracy for the calculated eigenvalues.
authors.affiliation: Fakulatat fur Physik der Universitat, Hermann-Herder-Str. 3, 7800 Freiburg, Germany.
authors.forename: Gregor
authors.initials: G
authors.lastname: Tanner
authors.forename: Dieter
authors.initials: D
authors.lastname: Wintgen