Classical non-Abelian Berry’s phase

DOI10.1063/1.528913zbMath0701.70013OpenAlexW2069254098MaRDI QIDQ3479548

Yihren Wu

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528913

zbMATH Keywords

Hamiltonian G-actionclassical non-Abelian Berry's phaseG-collective Hamiltonian functionsparameter-dependent dynamical systemsymplectic form on the phase space

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• Unnamed Item
• A topological investigation of the quantum adiabatic phase
• Quantal phase factors accompanying adiabatic changes
• Classical adiabatic angles and quantal adiabatic phase
• Classical non-adiabatic angles
• Generalized coherent states and Berry’s phase
• Berry's phase and the planar three-body problem

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