# Exact solution of Dirac equation in 2+1 dimensional gravity

## Abstract

We find exact solutions of the Dirac equation in the 2+1 dimensional curved background by separation of variables. These solutions are given in terms of hypergeometric functions. We also perform the Gordon decomposition for the Dirac current to discuss the time dependence of the polarization densities and the magnetization density, and to show that the polarization densities are more effective than the magnetization density in the pair production in finite time intervals.

- Authors:

- Department of Physics, Akdeniz University, P.K. 510, Antalya 07058 (Turkey) and Feza Guersey Institute, Cengelkoy Istanbul 81200 (Turkey)
- (Turkey)

- Publication Date:

- OSTI Identifier:
- 20929714

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2735442; (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; DIRAC EQUATION; EINSTEIN FIELD EQUATIONS; EXACT SOLUTIONS; GEOMETRY; GRAVITATION; HYPERGEOMETRIC FUNCTIONS; MAGNETIZATION; ONE-DIMENSIONAL CALCULATIONS; PAIR PRODUCTION; POLARIZATION; SPACE-TIME; TIME DEPENDENCE

### Citation Formats

```
Sucu, Yusuf, Uenal, Nuri, and Department of Physics, Akdeniz University, P.K. 510, Antalya 07058.
```*Exact solution of Dirac equation in 2+1 dimensional gravity*. United States: N. p., 2007.
Web. doi:10.1063/1.2735442.

```
Sucu, Yusuf, Uenal, Nuri, & Department of Physics, Akdeniz University, P.K. 510, Antalya 07058.
```*Exact solution of Dirac equation in 2+1 dimensional gravity*. United States. doi:10.1063/1.2735442.

```
Sucu, Yusuf, Uenal, Nuri, and Department of Physics, Akdeniz University, P.K. 510, Antalya 07058. Tue .
"Exact solution of Dirac equation in 2+1 dimensional gravity". United States.
doi:10.1063/1.2735442.
```

```
@article{osti_20929714,
```

title = {Exact solution of Dirac equation in 2+1 dimensional gravity},

author = {Sucu, Yusuf and Uenal, Nuri and Department of Physics, Akdeniz University, P.K. 510, Antalya 07058},

abstractNote = {We find exact solutions of the Dirac equation in the 2+1 dimensional curved background by separation of variables. These solutions are given in terms of hypergeometric functions. We also perform the Gordon decomposition for the Dirac current to discuss the time dependence of the polarization densities and the magnetization density, and to show that the polarization densities are more effective than the magnetization density in the pair production in finite time intervals.},

doi = {10.1063/1.2735442},

journal = {Journal of Mathematical Physics},

number = 5,

volume = 48,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2735442

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