Published May 6, 2005
| Version v1
Journal article
Rotation numbers, boundary forces and gap labelling
Creators
- 1. Institute Girard Desargues, Universite Claude Bernard Lyon 1, F-69622 Villeurbanne (France)
- 2. School of Mathematics, Cardiff University, PO Box 926, Cardiff CF24 4YH (United Kingdom)
Description
We review the Johnson-Moser rotation number and the K0-theoretical gap labelling of Bellissard for one-dimensional Schroedinger operators. We compare them with two further gap labels, one being related to the motion of Dirichlet eigenvalues, the other being a K1-theoretical gap label. We argue that the latter provides a natural generalization of the Johnson-Moser rotation number to higher dimensions
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/3937/a5_18_005.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/3937/a5_18_005.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/18/005;
- PII
- S0305-4470(05)94045-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 18
- Journal Page Range
- p. 3937-3946
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36096120
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMPARATIVE EVALUATIONS; DIRICHLET PROBLEM; EIGENVALUES; LABELLING; MATHEMATICAL OPERATORS; ONE-DIMENSIONAL CALCULATIONS; REVIEWS; ROTATION
- Descriptors DEC
- BOUNDARY-VALUE PROBLEMS; DOCUMENT TYPES; EVALUATION; MOTION