Applications of periodic-orbit theory.
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.
Sieber
M.
M
II. Institut fur Theoretische Physik, Universitat Hamburg, Luruper Chaussee 149, 2000 Hamburg 50, Germany.