Published May 2005
| Version v1
Journal article
Ergodic Properties of the Quantum Geodesic Flow on Tori
Creators
- 1. Indiana University Purdue University Indianapolis, Department of Mathematics (United States)
- 2. Polish Academy of Sciences, Institute of Mathematics (Poland)
Description
We study ergodic averages for a class of pseudo-differential operators on the flat N-dimensional torus with respect to the Schroedinger evolution. The later can be consider a quantization of the geodesic flow on TN. We prove that, up to semi-classically negligible corrections, such ergodic averages are translationally invariant operators
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 8
- Journal Issue
- 2
- Journal Page Range
- p. 173-186
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39078129
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CORRECTIONS; GEODESY; MATHEMATICAL EVOLUTION; MATHEMATICAL OPERATORS; QUANTIZATION; QUANTUM MECHANICS; SCHROEDINGER PICTURE; SEMICLASSICAL APPROXIMATION; TORI
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS; EVOLUTION; MECHANICS
Optional Information
- Copyright
- Copyright (c) 2005 Springer