Berry phase in homogeneous Kähler manifolds with linear Hamiltonians

DOI10.1063/1.1396837zbMath1019.81021arXivmath-ph/0111022OpenAlexW3103784178MaRDI QIDQ2774713

Mariano Santander, Luis J. Boya, A. M. Perelomov

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0111022

zbMATH Keywords

coherent statestotal phasecoadjoint orbits of some Lie groupscyclic quantum motion

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of global differential geometry to the sciences (53C80) Coherent states (81R30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (7)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Semiclassical limits for the QCD Dirac operator ⋮ Berry phases on Virasoro orbits ⋮ Berry phases in the reconstructed KdV equation ⋮ Adjoint orbits, generalised parallelisable spaces and consistent truncations ⋮ Thomas precession for dressed particles ⋮ Probing Wigner rotations for any group

Cites Work

• Invariant Kähler-Einstein metrics on compact homogeneous spaces
• Über Jordan-Algebren und beschränkte symmetrische Gebiete
• Coherent states for arbitrary Lie group
• Quantal phase factors accompanying adiabatic changes
• Aharonov-Anandan geometric phase for spin-1/2 periodic Hamiltonians
• Orbital Aharonov-Anandan geometric phase for confined motion in a precessing magnetic field
• On Algebraic Homogeneous Spaces
• Kählerian Coset Spaces of Semisimple Lie Groups
• Invariants of Finite Groups Generated by Reflections
• Topology of Lie groups and characteristic classes

This page was built for publication: Berry phase in homogeneous Kähler manifolds with linear Hamiltonians