Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials

Details Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials

2002-05-22

arxiv.org/abs/math-ph/0205035v1

Contemporary Mathematics Vol. 307, 2002, p. 113 - 127

Physics

Mathematical Physics

To appear in Proceedings of the Conference QMath-8 "Mathematical Results in Quantum Mechanics" Taxco, Mexico, December 2001

Scientific paper

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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