Bound states in bottomless potentials
高能物理 - 理论
2009-11-07 v1 凝聚态物理
广义相对论与量子宇宙学
高能物理 - 唯象学
量子物理
摘要
We consider classical and quantum dynamics on potentials that are asymptotically unbounded from below. By explicit construction we find that quantum bound states can exist in certain bottomless potentials. The classical dynamics in these potentials is novel. Only a set of zero measure of classical trajectories can escape to infinity. All other trajectories get trapped as they get further out into the asymptotic region.
关键词
引用
@article{arxiv.hep-th/0203159,
title = {Bound states in bottomless potentials},
author = {Tanmay Vachaspati},
journal= {arXiv preprint arXiv:hep-th/0203159},
year = {2009}
}
备注
2 pages