Scattering for massive Dirac fields on the Kerr metric

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2456345· OSTI ID:20929639

Batic, D ^[1]

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1. Institute for Theoretical Physics, Swiss Federal Institute of Technology, CH-8093 Zurich (Switzerland)

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.

• OSTI ID: 20929639
• Journal Information: Journal of Mathematical Physics, Vol. 48, Issue 2; Other Information: DOI: 10.1063/1.2456345; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
CALCULATION METHODS
DIRAC EQUATION
GENERAL RELATIVITY THEORY
HAMILTONIANS
KERR METRIC
PHASE SHIFT
SCATTERING
TIME DEPENDENCE