Adiabatic Berry phase and Hannay angle for open paths

DOI10.1006/aphy.1998.5850zbMath0928.46060arXivquant-ph/9804057OpenAlexW2091095547MaRDI QIDQ1290437

Arun Kumar Pati

Publication date: 9 January 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9804057

zbMATH Keywords

Poisson bracketadiabatic Berry phaseangle holonomycommutator of instantaneous projectorsgeneralized gauge potentialopen-path Hannay angleparametrized coherent state approachphase holonomyquantum mechanical inner productwave-packet revival phenomenaWigner representation of operators

Mathematics Subject Classification ID

Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of functional analysis in quantum physics (46N50)

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Cites Work

• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• The Hannay angles: Geometry, adiabaticity, and an example
• Berry's phase, Hannay's angle and coherent states
• Classical adiabatic angles and quantal adiabatic phase
• Classical non-adiabatic angles
• Semi-classical mechanics in phase space: A study of Wigner’s function
• On the Quantum Correction For Thermodynamic Equilibrium
• Adiabatic Geometric Phases and Response Functions
• Gauge-invariant reference section and geometric phase