The Berry Phase and the Geometry of Coset Spaces

Ewgenij A. Tolkachev and Arthur A. Tregubovich
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Ewgenij A. Tolkachev: Byelorussian Academy of Sciences, B. I. Stepanov Institute of Physics
Arthur A. Tregubovich: Byelorussian Academy of Sciences, B. I. Stepanov Institute of Physics

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 291-298 from Springer

Abstract: Abstract We consider the Berry phase for quantum systems with dynamical symmetry and nondegenerate spectrum. It is shown that the corresponding phase factor is the holonomy group element of the group fibre bundle G(G/S) where G is the dynamical symmetry group and S is its maximal commutative subgroup. The connection between such elements and Cartan structure 1-forms of the bundle is established. The particular case of SU(3) symmetry group is completely investigated.

Keywords: Symmetry Group; Phase Factor; Parallel Transport; Dynamical Symmetry; Berry Phase (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_33

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DOI: 10.1007/978-1-4899-1060-8_33

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