Back to Search
Start Over
Geometry and probability on the noncommutative 2-torus in a magnetic field.
- Source :
-
Theoretical & Mathematical Physics . Aug2024, Vol. 220 Issue 2, p1385-1401. 17p. - Publication Year :
- 2024
-
Abstract
- We describe the geometric and probabilistic properties of a noncommutative -torus in a magnetic field. We study the volume invariance, integrated scalar curvature, and the volume form by using the operator method of perturbation by an inner derivation of the magnetic Laplacian operator on the noncommutative -torus. We then analyze the magnetic stochastic process describing the motion of a particle subject to a uniform magnetic field on the noncommutative -torus, and discuss the related main properties. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 220
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 179257888
- Full Text :
- https://doi.org/10.1134/S0040577924080105