Published May 2009
| Version v1
Journal article
Symmetry operators for Dirac's equation on two-dimensional spin manifolds
- 1. Dipartimento di Matematica, Universita di Torino, Torino 10123, Italy and INFN-Iniz. Spec. Na12 (Italy)
- 2. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
- 3. Dipartimento di Matematica, Universita di Torino, Torino 10123 (Italy)
Description
It is shown that the second order symmetry operators for the Dirac equation on a general two-dimensional spin manifold may be expressed in terms of Killing vectors and valence 2 Killing tensors. The role of these operators in the theory of separation of variables for the Dirac equation is studied.
Additional details
Identifiers
- DOI
- 10.1063/1.3115042;
- arXiv
- arXiv:0812.2269v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 5
- Journal Page Range
- p. 053516-053516.12
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41040161
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DIRAC EQUATION; EINSTEIN FIELD EQUATIONS; MATHEMATICAL OPERATORS; SPACE-TIME; SPIN; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS; VECTORS
- Descriptors DEC
- ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; TENSORS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2009 American Institute of Physics