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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.07700 |
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| _version_ | 1866915661417021440 |
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| author | Chaturvedi, Akshay Ramadevi, Pichai |
| author_facet | Chaturvedi, Akshay Ramadevi, Pichai |
| contents | We first review the application of Dirac's method to the dynamics of a classical particle constrained to a circle and its subsequent quantization. Then, we extend the analysis to a particle constrained to move on an ellipse. Particularly, we identify the corresponding Dirac brackets and determine the quantum operators associated with the fundamental dynamical variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constrained Dynamics on an Ellipse Chaturvedi, Akshay Ramadevi, Pichai High Energy Physics - Theory We first review the application of Dirac's method to the dynamics of a classical particle constrained to a circle and its subsequent quantization. Then, we extend the analysis to a particle constrained to move on an ellipse. Particularly, we identify the corresponding Dirac brackets and determine the quantum operators associated with the fundamental dynamical variables. |
| title | Constrained Dynamics on an Ellipse |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.07700 |