UNIFIED THEORY OF LYAPUNOV EXPONENTS AND A POSITIVE EXAMPLE OF DETERMINISTIC QUANTUM CHAOS

Authors
FAISAL FHM SCHWENGELBECK U
Citation
Fhm. Faisal et U. Schwengelbeck, UNIFIED THEORY OF LYAPUNOV EXPONENTS AND A POSITIVE EXAMPLE OF DETERMINISTIC QUANTUM CHAOS, Physics letters. A, 207(1-2), 1995, pp. 31-36
Citations number
17
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
207
Issue
1-2
Year of publication
1995
Pages
31 - 36
Database
ISI
SICI code
0375-9601(1995)207:1-2<31:UTOLEA>2.0.ZU;2-L
Abstract
A unified theory of quantum Lyapunov exponents, based on the Hamilton- Jacobi formulation of quantum mechanics, is applied to Weigert's quant um cat map. It is shown to provide a definite positive example of dete rministic quantum chaos in terms of extreme sensitivity on initial con ditions and a positive definite Lyapunov exponent.