Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918157686407168 |
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| author | Berceanu, Stefan |
| author_facet | Berceanu, Stefan |
| contents | The relation between the Berry phase and connection matrix on the Siegel-Jacobi disk $\mathcal{D}^J_1$ and Siegel-Jacobi upper half-plane$\mathcal{X}^J_1$ are analyzed. The connection matrix and the covariant derivative of one-forms on the extended Siegel-Jacobi upper half-plane $\tilde{\mathcal{X}}^J_1$ are calculated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups Berceanu, Stefan Differential Geometry 32F45, 53C55, 53C30, 81R30 The relation between the Berry phase and connection matrix on the Siegel-Jacobi disk $\mathcal{D}^J_1$ and Siegel-Jacobi upper half-plane$\mathcal{X}^J_1$ are analyzed. The connection matrix and the covariant derivative of one-forms on the extended Siegel-Jacobi upper half-plane $\tilde{\mathcal{X}}^J_1$ are calculated. |
| title | Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups |
| topic | Differential Geometry 32F45, 53C55, 53C30, 81R30 |
| url | https://arxiv.org/abs/2401.03758 |