Prebifurcation periodic ghost orbits in semiclassical quantization
Abstract
Classical periodic orbits are stationary-phase points in path integral representations of quantum propagators. We show that complex solutions of the stationary-phase equation, not corresponding to real classical periodic orbits, give additional contributions to the propagator which can be important, especially near bifurcations. We reveal the existence and relevance of such periodic ghost orbits for a kicked top.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1993
- DOI:
- 10.1103/PhysRevLett.71.2167
- Bibcode:
- 1993PhRvL..71.2167K
- Keywords:
-
- 03.65.Sq;
- 05.45.+b;
- Semiclassical theories and applications