On evolutionary processes in large N quantum mechanics
High Energy Physics - Theory
2010-01-18 v1
Abstract
Equations of motion of large N quantum mechanics are solved for infinite N in the case of unbroken global O(N) symmetry. It is shown that the only correction to the action is a change in the potential. All characteristics of the motion (frequencies of oscillations, times of rolling, a phase portrait etc.) can be computed by means of a classical mechanics for the corrected potential. In particular, a tunneling in the system is absent.
Cite
@article{arxiv.0910.2914,
title = {On evolutionary processes in large N quantum mechanics},
author = {Vadim Asnin},
journal= {arXiv preprint arXiv:0910.2914},
year = {2010}
}
Comments
10 pages