Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0205035,
title = {Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials},
author = {Volker Enss and Vadim Kostrykin and Robert Schrader},
journal= {arXiv preprint arXiv:math-ph/0205035},
year = {2007}
}
Comments
To appear in Proceedings of the Conference QMath-8 "Mathematical Results in Quantum Mechanics" Taxco, Mexico, December 2001