Identification of Kähler quantizations and the Berry phase

DOI10.1016/S0393-0440(00)00025-5zbMath0979.53097OpenAlexW2050836492MaRDI QIDQ1840562

Andrés Viña

Publication date: 26 February 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(00)00025-5

zbMATH Keywords

holonomysymplectic manifoldBerry phaseparallel transportsspace of Kähler structures

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geometry and quantization, symplectic methods (81S10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Geometric quantization (53D50)

Related Items (4)

Quantization of compact Riemannian symmetric spaces ⋮ The manifold of compatible almost complex structures and geometric quantization ⋮ Direct images, fields of Hilbert spaces, and geometric quantization ⋮ Hamiltonian symplectomorphisms and the Berry phase

Cites Work

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