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He–McKellar–Wilkens-type effect, quantum holonomies and Aharonov–Bohm-type effect for bound states from the Lorentz symmetry breaking effects

Universidade Vila Velha, Rua Comissário José Dantas de Melo 21, Boa Vista II, 29102-920, Vila Velha, ES, Brazil

Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil

E-mail Address: andreglima@gmail.com

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H. Belich

Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil

E-mail Address: belichjr@gmail.com

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, and

K. Bakke

http://orcid.org/0000-0002-9038-863X

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil

E-mail Address: kbakke@fisica.ufpb.br

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https://doi.org/10.1142/S0129055X16500239Cited by:4 (Source: Crossref)

Abstract

From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of the Standard Model Extension determined by a tensor background ${(K_{F})}_{μ ν α β}$ , we establish a possible scenario where an analogue of the He–McKellar–Wilkens effect can stem from. Besides, we build quantum holonomies associated with the analogue of the He–McKellar–Wilkens effect and discuss a possible analogy with the geometric quantum computation. Finally, we investigate the dependence of the energy levels on the He–McKellar–Wilkens geometric phase induced by Lorentz symmetry breaking effects when the particle is confined to a hard-wall confining potential.

Keywords:

AMSC: 81Q70, 81Q05, 81R40, 81T99, 81S99

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