On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects |
| |
Authors: | K. Bakke H. Belich |
| |
Affiliation: | 1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil;2. Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil |
| |
Abstract: | The behaviour of a relativistic scalar particle in a possible scenario that arises from the violation of the Lorentz symmetry is investigated. The background of the Lorentz symmetry violation is defined by a tensor field that governs the Lorentz symmetry violation out of the Standard Model Extension. Thereby, we show that a Coulomb-type potential can be induced by Lorentz symmetry breaking effects and bound states solutions to the Klein–Gordon equation can be obtained. Further, we discuss the effects of this Coulomb-type potential on the confinement of the relativistic scalar particle to a linear confining potential by showing that bound states solutions to the Klein–Gordon equation can also be achieved, and obtain a quantum effect characterized by the dependence of a parameter of the linear confining potential on the quantum numbers {n,l} of the system. |
| |
Keywords: | Lorentz symmetry violation Klein&ndash Gordon equation Coulomb-type potential Linear confining potential Relativistic bound states Biconfluent Heun function |
本文献已被 ScienceDirect 等数据库收录! |
|