Creagh, Stephen C. (1996) Trace formula for broken symmetry. ANNALS OF PHYSICS, 248 (1). pp. 60-94. ISSN 0003-4916, 1096-035X
Full text not available from this repository.Abstract
We derive a trace formula for systems that exhibit an approximate continuous symmetry. It interpolates between the sum over continuous families of periodic orbits that holds in the case of exact continuous symmetry, and the discrete sum over isolated orbits that holds when the symmetry is completely broken. It is based on a simple perturbation expansion of the classical dynamics, centered around the case of exact symmetry, and gives an approximation to the usual Gutzwiller formula when the perturbation is large. We illustrate the computation with some 2-dimensional examples: the deformation of the circular billiard into an ellipse, and anisotropic and anharmonic perturbations of a harmonic oscillator. (C) 1996 Academic Press, Inc.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERIODIC-ORBITS; MASLOV INDEXES; WAVE-EQUATION; FINITE DOMAIN; EIGENFREQUENCIES; SUPERSHELLS; CLUSTERS; SPECTRUM; DENSITY; TERMS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Jul 2023 06:23 |
| Last Modified: | 06 Jul 2023 06:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51703 |
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