On the Weyl transform and the quantization of the hypersphere
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912002521169920 |
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| author | Simone, Camosso |
| author_facet | Simone, Camosso |
| contents | After having dealt with the classical Weyl quantization, the deformation quantization and the recently (but old) Born-Jordan quantization, the purpose of the article is a sort of ''monomial quantization'' of the $2$-sphere. The result of the impossibility of a rigorous quantization of the sphere is well known and treated in the literature, despite everything the case of the hydrogen atom remains one of the most interesting cases in the modeling of quantum theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Weyl transform and the quantization of the hypersphere Simone, Camosso General Mathematics 53D55, 43A32 After having dealt with the classical Weyl quantization, the deformation quantization and the recently (but old) Born-Jordan quantization, the purpose of the article is a sort of ''monomial quantization'' of the $2$-sphere. The result of the impossibility of a rigorous quantization of the sphere is well known and treated in the literature, despite everything the case of the hydrogen atom remains one of the most interesting cases in the modeling of quantum theories. |
| title | On the Weyl transform and the quantization of the hypersphere |
| topic | General Mathematics 53D55, 43A32 |
| url | https://arxiv.org/abs/2408.10224 |