Geometrical treatment of nonholonomic phase in quantum mechanics and applications

DOI10.1007/BF00673713zbMath0785.53067MaRDI QIDQ1209249

P. B. Pereshogin, P. I. Pronin

Publication date: 16 May 1993

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

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (1)

Adiabatic approximation and Berry's phase in the Heisenberg picture

Cites Work

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• A topological investigation of the quantum adiabatic phase
• The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case
• On the classical limit of Berry's phase integrable systems
• Chern numbers for fermionic quadrupole systems
• Quantal phase factors accompanying adiabatic changes
• Quantum evolution as a parallel transport

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