Geometric phase and controllability of quantum systems

DOI10.1016/0034-4877(96)83510-5zbMath0951.93509OpenAlexW2130441952WikidataQ115597532 ScholiaQ115597532MaRDI QIDQ1372427

Dariusz Chruściński

Publication date: 7 January 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)83510-5

zbMATH Keywords

symplectic structuregeometric phasereachable sets

Mathematics Subject Classification ID

Controllability (93B05) Geometric methods (93B27) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

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• Bilinear control processes. With applications to engineering, ecology, and medicine
• Symplectic structure for the nonabelian geometric phase
• Control systems on Lie groups
• Quantal phase factors accompanying adiabatic changes
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems

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