Quantization of Fractional Singular Lagrangian systems with Second-Order Derivatives Using Path Integral Method
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866909594819756032 |
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| author | Hasan, Eyad Hasan Abu-Haija, Osama Abdalla |
| author_facet | Hasan, Eyad Hasan Abu-Haija, Osama Abdalla |
| contents | The fractional quantization of singular systems with second order Lagrangian is examined. The fractional singular Lagrangian is presented. The equations of motion are written as total differential equations within fractional calculus. Also, the set of Hamilton Jacobi partial differential equations is constructed in fractional form. The path integral formulation and path integral quantization for these systems are constructed within fractional derivatives. We examined a mathematical singular Lagrangian with two primary first class constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_11809 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantization of Fractional Singular Lagrangian systems with Second-Order Derivatives Using Path Integral Method Hasan, Eyad Hasan Abu-Haija, Osama Abdalla General Mathematics The fractional quantization of singular systems with second order Lagrangian is examined. The fractional singular Lagrangian is presented. The equations of motion are written as total differential equations within fractional calculus. Also, the set of Hamilton Jacobi partial differential equations is constructed in fractional form. The path integral formulation and path integral quantization for these systems are constructed within fractional derivatives. We examined a mathematical singular Lagrangian with two primary first class constraints. |
| title | Quantization of Fractional Singular Lagrangian systems with Second-Order Derivatives Using Path Integral Method |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2301.11809 |