title: Applications of periodic-orbit theory.
abstract: The periodic-orbit theory of Gutzwiller is applied in various ways by using generalized periodic-orbit sum rules. Numerical evaluations are carried out for the hyperbola billiard, a strongly chaotic system. The most efficient semiclassical determination of quantum energies is achieved by a quantization condition, which is formulated in terms of a zeta function by using a functional equation.
authors.affiliation: II. Institut fur Theoretische Physik, Universitat Hamburg, Luruper Chaussee 149, 2000 Hamburg 50, Germany.
authors.forename: M.
authors.initials: M
authors.lastname: Sieber