Quantization of chaotic systems.
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.
Tanner
Gregor
G
Fakulatat fur Physik der Universitat, Hermann-Herder-Str. 3, 7800 Freiburg, Germany.
Wintgen
Dieter
D