Published February 2002
| Version v1
Journal article
Subharmonic projections for a quantum Markov semigroup
- 1. Facultad de Matematicas, Universidad Catolica de Chile, Casilla 306, Santiago 22 (Chile)
- 2. Dipartimento di Matematica, Universita di Genova, via Dodecaneso 35, I-16146 Genova (Italy)
Description
This article introduces a concept of subharmonic projections for a quantum Markov semigroup, in view of characterizing the support projection of a stationary state in terms of the semigroup generator. These results, together with those of our previous article [J. Math. Phys. 42, 1296 (2001)], lead to a method for proving the existence of faithful stationary states. This is often crucial in the analysis of ergodic properties of quantum Markov semigroups. The method is illustrated by applications to physical models
Additional details
Identifiers
- DOI
- 10.1063/1.1424475;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 43
- Journal Issue
- 2
- Journal Page Range
- p. 1074-1082
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35004472
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; GROUP THEORY; MARKOV PROCESS; MATHEMATICAL LOGIC; QUANTUM GROUPS
- Descriptors DEC
- MATHEMATICS; STOCHASTIC PROCESSES; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2002 American Institute of Physics.