Klein-Gordon oscillator in a topologically nontrivial space-time

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, it is assumed the $S^1\times R^3$ space 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 S1. 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 to the rotating system has an additional term that breaks the symmetry around $E=0$.

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• PDM relativistic quantum oscillator in Einstein-Maxwell-Lambda space-time
• On the supersymmetry of the Klein-Gordon oscillator
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Black Strings and String Clouds Embedded in Anisotropic Quintessence: Solutions for Scalar Particles and Implications
• Scalar bosons in Bonnor-Melvin-$\Lambda$ universe: Exact solution, Landau levels and Coulomb-like potential
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant
• Spacetime curvature corrections for the Yukawa potential and its application for the Reissner-Nordström Metric