Scattering for massive Dirac fields on the Kerr metric
Abstract
Starting with the Dirac equation outside the event horizon of a nonextreme Kerr black hole, we develop a timedependent scattering theory for massive Dirac particles. The explicit computation of the modified wave operators at infinity is done by implementing a timedependent 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.
 Authors:
 Institute for Theoretical Physics, Swiss Federal Institute of Technology, CH8093 Zurich (Switzerland)
 Publication Date:
 OSTI Identifier:
 20929639
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 2; Other Information: DOI: 10.1063/1.2456345; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; CALCULATION METHODS; DIRAC EQUATION; GENERAL RELATIVITY THEORY; HAMILTONIANS; KERR METRIC; PHASE SHIFT; SCATTERING; TIME DEPENDENCE
Citation Formats
Batic, D. Scattering for massive Dirac fields on the Kerr metric. United States: N. p., 2007.
Web. doi:10.1063/1.2456345.
Batic, D. Scattering for massive Dirac fields on the Kerr metric. United States. doi:10.1063/1.2456345.
Batic, D. Thu .
"Scattering for massive Dirac fields on the Kerr metric". United States.
doi:10.1063/1.2456345.
@article{osti_20929639,
title = {Scattering for massive Dirac fields on the Kerr metric},
author = {Batic, D.},
abstractNote = {Starting with the Dirac equation outside the event horizon of a nonextreme Kerr black hole, we develop a timedependent scattering theory for massive Dirac particles. The explicit computation of the modified wave operators at infinity is done by implementing a timedependent 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.},
doi = {10.1063/1.2456345},
journal = {Journal of Mathematical Physics},
number = 2,
volume = 48,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
DOI: 10.1063/1.2456345
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