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Advances in High Energy Physics
Volume 2019, Article ID 2729352, 7 pages
https://doi.org/10.1155/2019/2729352
Research Article

Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time

Departamento de Física, CFM, Universidade Federal de Santa Catarina, CP 476, 88.040-900 Florianópolis, SC, Brazil

Correspondence should be addressed to L. C. N. Santos; rb.csfu@sotnas.siul

Received 10 January 2019; Revised 2 March 2019; Accepted 10 April 2019; Published 13 May 2019

Academic Editor: Diego Saez-Chillon Gomez

Copyright © 2019 L. C. N. Santos et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

In this study, we analyze solutions of the wave equation for scalar particles in a space-time with nontrivial topology. Solutions for the Klein–Gordon oscillator are found considering two configurations of this space-time. In the first one, the space is assumed where the metric is written in the usual inertial frame of reference. In the second case, we consider a rotating reference frame adapted to the circle . We obtained compact expressions for the energy spectrum and for the particles wave functions in both configurations. Additionally, we show that the energy spectrum of the solution associated with the rotating system has an additional term that breaks the symmetry around .