Geometric phase of quantum dots in the time-dependent isotropic magnetic field

DOI10.1007/S10773-010-0245-1zbMath1187.81150OpenAlexW1981849298MaRDI QIDQ965811

Zhao-Xian Yu, Zhi-Yong Jiao

Publication date: 26 April 2010

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

Full work available at URL: https://doi.org/10.1007/s10773-010-0245-1

zbMATH Keywords

geometric phasequantum dots

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum dots as quasi particles (81V65)

Cites Work

• Parallel transport and ``quantum holonomy along density operators
• Quantum kinematic approach to the geometric phase. I: General formalism
• High-order quantum adiabatic approximation and Berry's phase factor
• Quantal phase factors accompanying adiabatic changes
• Lie Algebraic Solution of Linear Differential Equations

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