Published February 2007
| Version v1
Journal article
Scattering for massive Dirac fields on the Kerr metric
Creators
- 1. Institute for Theoretical Physics, Swiss Federal Institute of Technology, CH-8093 Zurich (Switzerland)
Description
Starting with the Dirac equation outside the event horizon of a nonextreme Kerr black hole, we develop a time-dependent scattering theory for massive Dirac particles. The explicit computation of the modified wave operators at infinity is done by implementing a time-dependent logarithmic phase shift from the free dynamics to offset the long range term in the full Hamiltonian due to the presence of the gravitational force. Analytical expressions for the wave operators are also given
Additional details
Identifiers
- DOI
- 10.1063/1.2456345;
- arXiv
- arXiv:gr-qc/0606051v3;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 48
- Journal Issue
- 2
- Journal Page Range
- p. 022502-022502.25
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38088221
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BLACK HOLES; CALCULATION METHODS; DIRAC EQUATION; GENERAL RELATIVITY THEORY; HAMILTONIANS; KERR METRIC; PHASE SHIFT; SCATTERING; TIME DEPENDENCE
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; METRICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; RELATIVITY THEORY; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2007 American Institute of Physics