Published March 2010
| Version v1
Journal article
The Liouville equation for singular ergodic magnetic Schroedinger operators
Creators
- 1. Department of Mathematics, Michigan State University, East Lansing, Michigan 48823 (United States)
- 2. Department of Mathematics, University of California, Irvine, California 92697-3875 (United States)
Description
We study the time evolution of a density matrix in a quantum mechanical system described by an ergodic magnetic Schroedinger operator with singular magnetic and electric potentials, the electric field being introduced adiabatically. We construct a unitary propagator that solves weakly the corresponding time-dependent Schroedinger equation and solve a Liouville equation in an appropriate Hilbert space.
Additional details
Identifiers
- DOI
- 10.1063/1.3352562;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 51
- Journal Issue
- 3
- Journal Page Range
- p. 032105-032105.21
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41072120
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOLTZMANN-VLASOV EQUATION; DENSITY MATRIX; ELECTRIC FIELDS; ELECTRIC POTENTIAL; HILBERT SPACE; MATHEMATICAL EVOLUTION; MATHEMATICAL OPERATORS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; TIME DEPENDENCE
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; MATHEMATICAL SPACE; MATRICES; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2010 American Institute of Physics