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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.23411 |
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| _version_ | 1866912980804829184 |
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| author | Lin, Bing-Sheng Heng, Tai-Hua |
| author_facet | Lin, Bing-Sheng Heng, Tai-Hua |
| contents | In order to quantize systems involving second-class constraints, one should use Dirac bracket instead of Poisson bracket. Furthermore, one can specify a star product in which the term linear in $\hbar$ is proportional to the Dirac bracket. In this way an oscillator system in a deformed fermionic phase space is analyzed and the corresponding energy level and Wigner functions are evaluated according to scheme of deformation quantization. We also study the entanglement entropy induced by the deformation of the fermionic phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23411 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deformation quantization for systems with second-class constraints in deformed fermionic phase space Lin, Bing-Sheng Heng, Tai-Hua Mathematical Physics In order to quantize systems involving second-class constraints, one should use Dirac bracket instead of Poisson bracket. Furthermore, one can specify a star product in which the term linear in $\hbar$ is proportional to the Dirac bracket. In this way an oscillator system in a deformed fermionic phase space is analyzed and the corresponding energy level and Wigner functions are evaluated according to scheme of deformation quantization. We also study the entanglement entropy induced by the deformation of the fermionic phase space. |
| title | Deformation quantization for systems with second-class constraints in deformed fermionic phase space |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2603.23411 |