Nonadiabatic holonomy operators in classical and quantum completely integrable systems

DOI10.1063/1.1627957zbMath1070.81068arXivquant-ph/0212108OpenAlexW2130014121MaRDI QIDQ4833277

Luigi Mangiarotti, Gennadi A. Sardanashvily, Giovanni Giachetta

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0212108

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (2)

Quantization of noncommutative completely integrable Hamiltonian systems ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

Cites Work

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