Pletyukhov, Mikhail and Brack, Matthias (2003) On the canonically invariant calculation of Maslov indices. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 36 (36). pp. 9449-9469. ISSN 0305-4470
Full text not available from this repository.Abstract
After a short review of various ways to calculate the Maslov index appearing in semiclassical Gutzwiller type trace formulae, we discuss a coordinate-independent and canonically invariant formulation recently proposed by Sugita (2000 Phys. Lett. A 266 321, 2001 Ann. Phys., NY 288 227). We give explicit formulae for its ingredients and test them numerically for periodic orbits in several Hamiltonian systems with mixed dynamics. We demonstrate how the Maslov indices and their ingredients can be useful in the classification of periodic orbits in complicated bifurcation scenarios, for instance in a novel sequence of seven orbits born out of a tangent bifurcation in the Henon-Heiles system.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMICLASSICAL TRACE FORMULAS; PERIODIC-ORBITS; GEOMETRICAL PROPERTIES; HAMILTONIAN-SYSTEMS; LEVEL-DENSITY; PHASE-SPACE; SPECTRUM; SYMMETRY; APPROXIMATIONS; BIFURCATIONS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jul 2021 10:12 |
| Last Modified: | 29 Jul 2021 10:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38608 |
Actions (login required)
 |
View Item |
