GEOMETRIC PHASES, GAUGE SYMMETRIES AND RAY REPRESENTATION

DOI10.1142/S0217751X06033799zbMath1113.81060arXivquant-ph/0605081OpenAlexW1980621768MaRDI QIDQ3422273

Kazuo Fujikawa

Publication date: 9 February 2007

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0605081

zbMATH Keywords

gauge symmetryray representationnonadiabatic geometric phase

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (1)

GEOMETRIC PHASE AND CHIRAL ANOMALY: THEIR BASIC DIFFERENCES

Cites Work

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• Quantum kinematic approach to the geometric phase. I: General formalism
• Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase
• Quantal phase factors accompanying adiabatic changes
• On the real and complex geometric phases
• TOPOLOGICAL PROPERTIES OF BERRY'S PHASE
• Gauge-independent formalism for parallel transport, geodesics and geometric phase
• Noncyclic geometric phase and its non-Abelian generalization

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