View or Download
Abstract
Classical chaos refers to the property of trajectories to diverge exponentially as time t → ∞. It is characterized by a positive Lyapunov exponent. The purpose of this note is to show how the definition of quantum Lyapunov exponent naturally arises in the framework of the Moyal phase space formulation of quantum mechanics, and is based on the notions of quantum trajectories and the family of quantizers. The role of the Heisenberg uncertainty principle in the statement of the criteria for quantum chaos is made explicit.
Keywords
Quantum Chaos
Lyapunov Exponent
Phase Space
Moyal Mechanics
Weyl-Stratonovich Quantizer
Uncertainty Principle
Quantum Trajectories
Metadata
| Date | 2000 |
|---|---|
| Publisher | University of Manitoba |
| Language | English |
| Pages | 11 |
| PACS Codes | 05.45.Mt, 03.65.Sq |
Citation
M. F. Kondratieva, T. A. Osborn, "On the Notion of Quantum Lyapunov Exponent," University of Manitoba (2000).
Linked Data Formats
This record is available in multiple machine-readable formats for interoperability: