Published September 12, 2003
| Version v1
Journal article
Geometric construction of the quantum Hall effect in all even dimensions
Creators
- 1. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong (China)
Description
The quantum Hall effects in all even dimensions are uniformly constructed. Contrary to some recent accounts in the literature, the existence of quantum Hall effects (QHE) does not crucially depend on the existence of division algebras. For QHE on flat space of even dimensions, both the Hamiltonians and the ground-state wavefunctions for a single particle are explicitly described. This explicit description immediately tells us that QHE on a higher even-dimensional flat space shares common features such as incompressibility with QHE on a plane
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/9415/a33601.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/0305-4470/36/9415/a33601.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/36/301;
- PII
- S0305-4470(03)62871-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 36
- Journal Page Range
- p. 9415-9423
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35000249
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GEOMETRY; GROUND STATES; HALL EFFECT; HAMILTONIANS; QUANTUM MECHANICS; TOPOLOGY; WAVE FUNCTIONS
- Descriptors DEC
- ENERGY LEVELS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; QUANTUM OPERATORS