# On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle

## Abstract

We study a possible scenario of the Lorentz symmetry violation background that allows us to build an analogue of the Landau system for a nonrelativistic Dirac neutral particle interacting with a field configuration of crossed electric and magnetic fields. We also discuss the arising of analogues of the Rashba coupling, the Zeeman term and the Darwin term from the Lorentz symmetry breaking effects, and the influence of these terms on the analogue of the Landau system confined to a two-dimensional quantum ring. Finally, we show that this analogy with the Landau system confined to a two-dimensional quantum ring allows us to establish an upper bound for the Lorentz symmetry breaking parameters. - Highlights: • Landau system from crossed electric and magnetic fields and fixed time-like vector. • Analogues of the Rashba coupling, the Zeeman term and the Darwin term. • Lorentz symmetry breaking effects on a two-dimensional quantum ring. • Upper bound for the Lorentz symmetry breaking parameters.

- Authors:

- Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, 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:
- 22447598

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 354; Other Information: Copyright (c) 2014 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; ELECTRIC FIELDS; MAGNETIC FIELDS; QUANTIZATION; QUANTUM SYSTEMS; SYMMETRY BREAKING; TWO-DIMENSIONAL CALCULATIONS; ZEEMAN EFFECT

### Citation Formats

```
Bakke, K., E-mail: kbakke@fisica.ufpb.br, and Belich, H., E-mail: belichjr@gmail.com.
```*On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2014.12.006.

```
Bakke, K., E-mail: kbakke@fisica.ufpb.br, & Belich, H., E-mail: belichjr@gmail.com.
```*On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle*. United States. doi:10.1016/J.AOP.2014.12.006.

```
Bakke, K., E-mail: kbakke@fisica.ufpb.br, and Belich, H., E-mail: belichjr@gmail.com. Sun .
"On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle". United States.
doi:10.1016/J.AOP.2014.12.006.
```

```
@article{osti_22447598,
```

title = {On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle},

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

abstractNote = {We study a possible scenario of the Lorentz symmetry violation background that allows us to build an analogue of the Landau system for a nonrelativistic Dirac neutral particle interacting with a field configuration of crossed electric and magnetic fields. We also discuss the arising of analogues of the Rashba coupling, the Zeeman term and the Darwin term from the Lorentz symmetry breaking effects, and the influence of these terms on the analogue of the Landau system confined to a two-dimensional quantum ring. Finally, we show that this analogy with the Landau system confined to a two-dimensional quantum ring allows us to establish an upper bound for the Lorentz symmetry breaking parameters. - Highlights: • Landau system from crossed electric and magnetic fields and fixed time-like vector. • Analogues of the Rashba coupling, the Zeeman term and the Darwin term. • Lorentz symmetry breaking effects on a two-dimensional quantum ring. • Upper bound for the Lorentz symmetry breaking parameters.},

doi = {10.1016/J.AOP.2014.12.006},

journal = {Annals of Physics},

number = ,

volume = 354,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}