Eur. Phys. J. C (2016) 76: 365
https://doi.org/10.1140/epjc/s10052-016-4189-3

Regular Article - Theoretical Physics

Klein–Gordon oscillator in Kaluza–Klein theory

¹ Unidade Acadêmica de Tecnologia de Alimentos, Centro de Ciências e Tecnologia Agroalimentar, Universidade Federal de Campina Grande, Pereiros, Pombal, PB, 58840-000, Brazil
² Instituto de Física, Universidade Federal de Alagoas, Campus A. C. Simões-Av. Lourival Melo Mota, s/n, Tabuleiro do Martins, Maceió, AL, CEP: 57072-970, Brazil
³ Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-970, Brazil
⁴ Centro de Ciências Exatas e Sociais Aplicadas, Universidade Estadual da Paraíba, Patos, PB, Brazil
⁵ Departamento de Física, CCEN, Universidade Federal da Paraíba, Cidade Universitária, João Pessoa, PB, 58051-970, Brazil

^* e-mail: furtado@fisica.ufpb.br

Received: 24 March 2016
Accepted: 9 June 2016
Published online: 1 July 2016

Abstract

In this contribution we study the Klein–Gordon oscillator on the curved background within the Kaluza–Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza–Klein theory is studied. We consider a series of topological defects, then we treat the Klein–Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein–Gordon oscillator interacting with a cosmic dislocation in Som–Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza–Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov–Bohm flux and of the parameter associated to the rotation of the spacetime.