Periodic orbit quantization of a Hamiltonian map on the sphere
arXiv:nlin/0102039 · doi:10.1088/0305-4470/34/37/309
Abstract
In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. It was shown that a vast number of periodic orbits can be found using special properties. We now use this information to explore the semiclassical quantization of one of these maps.
23 pages, REVTEX4
References in corpus (9)
- Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra
- Semiclassical Transition from an Elliptical to an Oval Billiard
- Hamiltonian mappings and circle packing phase spaces
- Harmonic inversion as a general method for periodic orbit quantization
- Periodic Orbit Quantization of Mixed Regular Chaotic Systems
- Semiclassical spectra from periodic-orbit clusters in a mixed phase space
- On the Quantum Baker's Map and its Unusual Traces
- Accuracy of Trace Formulas
- Boundary contributions to the semiclassical traces of the baker's map