Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time
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 S1×R3 space is assumed where the metric is written in t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/2729352 |
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| _version_ | 1832552232236613632 |
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| author | L. C. N. Santos C. E. Mota C. C. Barros |
| author_facet | L. C. N. Santos C. E. Mota C. C. Barros |
| author_sort | L. C. N. Santos |
| collection | DOAJ |
| description | 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 S1×R3 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 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 with the rotating system has an additional term that breaks the symmetry around E=0. |
| format | Article |
| id | doaj-art-7ffdebb008894beda037bd4e62fde5f7 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-7ffdebb008894beda037bd4e62fde5f72025-02-03T05:59:15ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/27293522729352Klein–Gordon Oscillator in a Topologically Nontrivial Space-TimeL. C. N. Santos0C. E. Mota1C. C. Barros2Departamento de Física, CFM, Universidade Federal de Santa Catarina, CP 476, 88.040-900 Florianópolis, SC, BrazilDepartamento de Física, CFM, Universidade Federal de Santa Catarina, CP 476, 88.040-900 Florianópolis, SC, BrazilDepartamento de Física, CFM, Universidade Federal de Santa Catarina, CP 476, 88.040-900 Florianópolis, SC, BrazilIn 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 S1×R3 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 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 with the rotating system has an additional term that breaks the symmetry around E=0.http://dx.doi.org/10.1155/2019/2729352 |
| spellingShingle | L. C. N. Santos C. E. Mota C. C. Barros Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time Advances in High Energy Physics |
| title | Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time |
| title_full | Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time |
| title_fullStr | Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time |
| title_full_unstemmed | Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time |
| title_short | Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time |
| title_sort | klein gordon oscillator in a topologically nontrivial space time |
| url | http://dx.doi.org/10.1155/2019/2729352 |
| work_keys_str_mv | AT lcnsantos kleingordonoscillatorinatopologicallynontrivialspacetime AT cemota kleingordonoscillatorinatopologicallynontrivialspacetime AT ccbarros kleingordonoscillatorinatopologicallynontrivialspacetime |