# Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime

## Abstract

From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the violation of the Lorentz symmetry and write an effective metric for the cosmic string spacetime. Then, we investigate the arising of an analogue of the Anandan quantum phase for a relativistic Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string spacetime under Lorentz symmetry breaking effects. Besides, we analyse the influence of the effects of the Lorentz symmetry violation and the topology of the defect on the Aharonov–Casher geometric quantum phase in the nonrelativistic limit.

- Authors:

- Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa-PB (Brazil)
- Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES (Brazil)

- Publication Date:

- OSTI Identifier:
- 22617388

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 372; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATION; MAGNETIC DIPOLE MOMENTS; NEUTRAL PARTICLES; RELATIVISTIC RANGE; SPACE-TIME; SYMMETRY BREAKING

### Citation Formats

```
Bakke, K., E-mail: kbakke@fisica.ufpb.br, Furtado, C., E-mail: furtado@fisica.ufpb.br, and Belich, H., E-mail: belichjr@gmail.com.
```*Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime*. United States: N. p., 2016.
Web. doi:10.1016/J.AOP.2016.06.013.

```
Bakke, K., E-mail: kbakke@fisica.ufpb.br, Furtado, C., E-mail: furtado@fisica.ufpb.br, & Belich, H., E-mail: belichjr@gmail.com.
```*Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime*. United States. doi:10.1016/J.AOP.2016.06.013.

```
Bakke, K., E-mail: kbakke@fisica.ufpb.br, Furtado, C., E-mail: furtado@fisica.ufpb.br, and Belich, H., E-mail: belichjr@gmail.com. Thu .
"Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime". United States.
doi:10.1016/J.AOP.2016.06.013.
```

```
@article{osti_22617388,
```

title = {Relativistic Anandan quantum phase and the Aharonov–Casher effect under Lorentz symmetry breaking effects in the cosmic string spacetime},

author = {Bakke, K., E-mail: kbakke@fisica.ufpb.br and Furtado, C., E-mail: furtado@fisica.ufpb.br and Belich, H., E-mail: belichjr@gmail.com},

abstractNote = {From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the violation of the Lorentz symmetry and write an effective metric for the cosmic string spacetime. Then, we investigate the arising of an analogue of the Anandan quantum phase for a relativistic Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string spacetime under Lorentz symmetry breaking effects. Besides, we analyse the influence of the effects of the Lorentz symmetry violation and the topology of the defect on the Aharonov–Casher geometric quantum phase in the nonrelativistic limit.},

doi = {10.1016/J.AOP.2016.06.013},

journal = {Annals of Physics},

number = ,

volume = 372,

place = {United States},

year = {Thu Sep 15 00:00:00 EDT 2016},

month = {Thu Sep 15 00:00:00 EDT 2016}

}

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