# 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 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.

- Authors:

- Institute for Theoretical Physics, Swiss Federal Institute of Technology, CH-8093 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 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.},

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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