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Title: 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.

Authors:
 [1];  [2];  [3]
  1. (Centrum Fizyki Teoretycznej, Polska Akademia Nauk, al. Lotnikow 32/46, 02668 Warszawa (Poland))
  2. (FachbereichPhysik, Universitaet-Gesamthochschule Essen, 4300 Essen (Germany))
  3. (Laboratoire de Spectroscopie Hertzienne de l'Ecole Normale Superieure, Universite Pierre et Marie Curie, 4, place Jussieu, 75005 Paris (France))
Publication Date:
OSTI Identifier:
5949752
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; (United States); Journal Volume: 71:14
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; PROPAGATOR; SEMICLASSICAL APPROXIMATION; FEYNMAN PATH INTEGRAL; HAMILTONIANS; ORBITS; PERIODIC SYSTEM; INTEGRALS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; 661100* - Classical & Quantum Mechanics- (1992-); 661300 - Other Aspects of Physical Science- (1992-)

Citation Formats

Kus, M., Haake, F., and Delande, D.. Prebifurcation periodic ghost orbits in semiclassical quantization. United States: N. p., 1993. Web. doi:10.1103/PhysRevLett.71.2167.
Kus, M., Haake, F., & Delande, D.. Prebifurcation periodic ghost orbits in semiclassical quantization. United States. doi:10.1103/PhysRevLett.71.2167.
Kus, M., Haake, F., and Delande, D.. 1993. "Prebifurcation periodic ghost orbits in semiclassical quantization". United States. doi:10.1103/PhysRevLett.71.2167.
@article{osti_5949752,
title = {Prebifurcation periodic ghost orbits in semiclassical quantization},
author = {Kus, M. and Haake, F. and Delande, D.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.71.2167},
journal = {Physical Review Letters; (United States)},
number = ,
volume = 71:14,
place = {United States},
year = 1993,
month =
}
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