Classical and quantum dynamics of the n-dimensional kicked rotator
Abstract
The classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the diffusion in classical phase space are similar to that of the one-dimensional model. For the quantum dynamics such a result is not expected as in this case the evolution does depend in a very complicated way on the number n of degrees of freedom. In the limit n --> infinity we find the free undistrubed quantum motion. For finite values of n (1<=n<=26) we study numerically the quantum dynamics. Here, we always find localization independent of the actual number of degrees of freedom.
Cite
@article{arxiv.chao-dyn/9508009,
title = {Classical and quantum dynamics of the n-dimensional kicked rotator},
author = {Georg Junker and Harald Karl and Hajo Leschke},
journal= {arXiv preprint arXiv:chao-dyn/9508009},
year = {2009}
}
Comments
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