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arxiv: quant-ph/0212108 · v2 · submitted 2002-12-18 · 🪐 quant-ph · math-ph· math.DS· math.MP· nlin.SI

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

classification 🪐 quant-ph math-phmath.DSmath.MPnlin.SI
keywords classicalcompletelyholonomyintegrablequantumadiabaticapproximationassociate
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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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