Trace formula for broken symmetry
Journal Article
·
· Annals of Physics (New York)
- Institut fuer Theoretische Physik, Unversitaet Regensburg, D-93040 Regensburg (Germany)
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. Copyright {copyright} 1996 Academic Press, Inc.
- OSTI ID:
- 286885
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 248; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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