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Non-adiabatic holonomy operators in classical and quantum completely integrable systems

G. Giachetta·L. Mangiarotti·G. Sardanashvily
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Abstract

Given a completely integrable system, we associate to any connection on its invariant tori fibred over a parameter manifold the classical and quantum holonomy operator (generalized Berry's phase factor), without any adiabatic approximation.

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G. Giachetta, L. Mangiarotti, G. Sardanashvily. 2003-10-05. Non-adiabatic holonomy operators in classical and quantum completely integrable systems. https://arxiv.org/abs/quant-ph/0212108

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