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

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

2002-12-18

arxiv.org/abs/quant-ph/0212108v2

Physics

Quantum Physics

15 pages

Scientific paper

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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