The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System
In this paper, we introduce the cigar- shaped metric . Such metric can be obtained by the Schwarzschild black hole. Here, we write the Dirac equation in the corresponding background. We take some change of variable for the above equation and re- write the mentioned equation similar to the hypergeome...
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| Format: | Article |
| Language: | English |
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Damghan university
2024-07-01
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| Series: | Iranian Journal of Astronomy and Astrophysics |
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| Online Access: | https://ijaa.du.ac.ir/article_414_38a1fa321c6b544ab486f9eb9813f315.pdf |
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| author | Omid Jalili Shahin Toni Jafar Sadeghi |
| author_facet | Omid Jalili Shahin Toni Jafar Sadeghi |
| author_sort | Omid Jalili |
| collection | DOAJ |
| description | In this paper, we introduce the cigar- shaped metric . Such metric can be obtained by the Schwarzschild black hole. Here, we write the Dirac equation in the corresponding background. We take some change of variable for the above equation and re- write the mentioned equation similar to the hypergeometric equation. We take advantage from the known polynomial( hypergeometric) and factorized the Dirac equation in cigar- shaped background in terms of first order equations and achieve the wave function. Also, this first order equations lead us to use super symmetry(SUSY) approach and obtain the energy spectrum. SUSY quantum mechanics can be used to solve ordinary differential equation. Using this method, we obtained the energy spectrum of the Fermions on the aforementioned background. Then, by computing the partition function, we obtained the statistical quantities of the system. Finally, we take information from thermodynamic and investigate the thermal properties of the system. |
| format | Article |
| id | doaj-art-3c8b816b306a44179408118a512f1d92 |
| institution | Kabale University |
| issn | 2322-4924 2383-403X |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Damghan university |
| record_format | Article |
| series | Iranian Journal of Astronomy and Astrophysics |
| spelling | doaj-art-3c8b816b306a44179408118a512f1d922025-01-12T10:03:30ZengDamghan universityIranian Journal of Astronomy and Astrophysics2322-49242383-403X2024-07-01111738010.22128/ijaa.2024.755.1174414The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of SystemOmid Jalili0Shahin Toni1Jafar Sadeghi2Department of Physics, Islamic Azad University-Nour Branch, Nour, IranDepartment op Physics, Islamic Azad University-Nour Branch,Nour, IranDepartment of Physics, University of MazandaranIn this paper, we introduce the cigar- shaped metric . Such metric can be obtained by the Schwarzschild black hole. Here, we write the Dirac equation in the corresponding background. We take some change of variable for the above equation and re- write the mentioned equation similar to the hypergeometric equation. We take advantage from the known polynomial( hypergeometric) and factorized the Dirac equation in cigar- shaped background in terms of first order equations and achieve the wave function. Also, this first order equations lead us to use super symmetry(SUSY) approach and obtain the energy spectrum. SUSY quantum mechanics can be used to solve ordinary differential equation. Using this method, we obtained the energy spectrum of the Fermions on the aforementioned background. Then, by computing the partition function, we obtained the statistical quantities of the system. Finally, we take information from thermodynamic and investigate the thermal properties of the system.https://ijaa.du.ac.ir/article_414_38a1fa321c6b544ab486f9eb9813f315.pdfcigar-shaped metricsupersymmetrythermal properties |
| spellingShingle | Omid Jalili Shahin Toni Jafar Sadeghi The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System Iranian Journal of Astronomy and Astrophysics cigar-shaped metric supersymmetry thermal properties |
| title | The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System |
| title_full | The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System |
| title_fullStr | The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System |
| title_full_unstemmed | The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System |
| title_short | The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System |
| title_sort | cigar shaped background metric with supersymmetry approaches and thermal properties of system |
| topic | cigar-shaped metric supersymmetry thermal properties |
| url | https://ijaa.du.ac.ir/article_414_38a1fa321c6b544ab486f9eb9813f315.pdf |
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