Super algebra and Harmonic Oscillator in Anti de Sitter space
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved S...
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| Format: | Article |
| Language: | English |
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Damghan university
2019-04-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
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| Online Access: | https://ijaa.du.ac.ir/article_158_465bf23f88d017cffb70b0efc35f50d7.pdf |
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| author | Omid Jalili Shahin Toni |
| author_facet | Omid Jalili Shahin Toni |
| author_sort | Omid Jalili |
| collection | DOAJ |
| description | The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape invariance, charge conjugation and other properties of supersymmetric Quantum Mechanics for our equation are discussed. We investigate the dynamical symmetry into definite group. We also obtain the Casimir operator and thermodynamics properties of harmonic oscillator in Anti de sitter space. We have discussed the corresponding algebra for the N=2 Supersymmetry. The energy spectrum of the harmonic oscillator is similar to the flat space but the constant terms of it are different, This constant terms depends to the geometrical parameter of the background. Finally we have obtained the various thermodynamics quantity of the system. |
| format | Article |
| id | doaj-art-344e1fd239384fe9a662d57b3e109e0e |
| institution | Kabale University |
| issn | 2322-4924 2383-403X |
| language | English |
| publishDate | 2019-04-01 |
| publisher | Damghan university |
| record_format | Article |
| series | Iranian Journal of Astronomy and Astrophysics |
| spelling | doaj-art-344e1fd239384fe9a662d57b3e109e0e2025-01-12T10:11:31ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2019-04-0161253110.22128/ijaa.2019.344.1057158Super algebra and Harmonic Oscillator in Anti de Sitter spaceOmid Jalili0Shahin Toni1Department of Physics, Islamic Azad University-Nour Branch, Nour, IranDepartment of Physics, Isalmic Azad University-Nour Branch, Nour, IranThe harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape invariance, charge conjugation and other properties of supersymmetric Quantum Mechanics for our equation are discussed. We investigate the dynamical symmetry into definite group. We also obtain the Casimir operator and thermodynamics properties of harmonic oscillator in Anti de sitter space. We have discussed the corresponding algebra for the N=2 Supersymmetry. The energy spectrum of the harmonic oscillator is similar to the flat space but the constant terms of it are different, This constant terms depends to the geometrical parameter of the background. Finally we have obtained the various thermodynamics quantity of the system.https://ijaa.du.ac.ir/article_158_465bf23f88d017cffb70b0efc35f50d7.pdfharmonic oscillatoranti de sitter spacesupersymmetrythermal properties |
| spellingShingle | Omid Jalili Shahin Toni Super algebra and Harmonic Oscillator in Anti de Sitter space Iranian Journal of Astronomy and Astrophysics harmonic oscillator anti de sitter space supersymmetry thermal properties |
| title | Super algebra and Harmonic Oscillator in Anti de Sitter space |
| title_full | Super algebra and Harmonic Oscillator in Anti de Sitter space |
| title_fullStr | Super algebra and Harmonic Oscillator in Anti de Sitter space |
| title_full_unstemmed | Super algebra and Harmonic Oscillator in Anti de Sitter space |
| title_short | Super algebra and Harmonic Oscillator in Anti de Sitter space |
| title_sort | super algebra and harmonic oscillator in anti de sitter space |
| topic | harmonic oscillator anti de sitter space supersymmetry thermal properties |
| url | https://ijaa.du.ac.ir/article_158_465bf23f88d017cffb70b0efc35f50d7.pdf |
| work_keys_str_mv | AT omidjalili superalgebraandharmonicoscillatorinantidesitterspace AT shahintoni superalgebraandharmonicoscillatorinantidesitterspace |