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arXiv · 2401.03758

Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups

Stefan Berceanu
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Abstract

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.

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Stefan Berceanu. 2024-01-08. Berry phases and connection matrices defined on homogeneous spaces attached to Siegel-Jacobi groups. https://arxiv.org/abs/2401.03758

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