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Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials

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arxiv math-ph/0205035 v1 pith:4Q76JRMV submitted 2002-05-22 math-ph math.MP

classification math-phmath.MP
keywords potentialquantumrotatingtime-evolutionaveragedconvergesdiscussequation
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The quantum mechanical time-evolution is studied for a particle under the influence of an explicitly time-dependent rotating potential. We discuss the existence of the propagator and we show that in the limit of rapid rotation it converges strongly to the solution operator of the Schr\"odinger equation with the averaged rotational invariant potential.

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