Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time. (13th May 2019)

• Record Type: Journal Article
• Authors: Santos, L. C. N.; Mota, C. E.; Barros, C. C.
• Other Names: Saez-Chillon Gomez Diego Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2019(2019)
• Publication Date: 2019-05-13
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2019/2729352
• Languages: English
• ISSNs: 1687-7357

Abstract

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, theS 1 × R 3 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 circleS 1 . 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 aroundE = 0 .