Generalized coherent states and Berry’s phase

DOI10.1063/1.528434zbMath0663.46081OpenAlexW2077365543MaRDI QIDQ3812801

G. Giavarini, Enrico Onofri

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528434

zbMATH Keywords

excited statesadiabatic approximationBerry's phasegeneralized coherent statesquantum dynamics of time-dependent Hamiltonians

Mathematics Subject Classification ID

Coherent states (81R30) Miscellaneous applications of functional analysis (46N99)

Related Items (10)

Geometric phases and Mielnik's evolution loops ⋮ Vector-coherent-state theory as a theory of induced representations ⋮ On coadjoint orbits of rotational perfect fluids ⋮ On equations of motion on compact Hermitian symmetric spaces ⋮ Smooth loops, generalized coherent states, and geometric phases ⋮ Classical non-Abelian Berry’s phase ⋮ On the topological phases in a planar N-point vortex system ⋮ On Some Geometric Aspects of Coherent States ⋮ On the quantization of the planar N-point vortex problem ⋮ Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation

Cites Work

• Quantization is geometry, after all
• Berry phases and unitary transformations
• Quantal phase factors accompanying adiabatic changes
• A note on coherent state representations of Lie groups
• On the exponential solution of differential equations for a linear operator

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