Bound states in bottomless potentials
High Energy Physics - Theory
2009-11-07 v1 Condensed Matter
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0203159,
title = {Bound states in bottomless potentials},
author = {Tanmay Vachaspati},
journal= {arXiv preprint arXiv:hep-th/0203159},
year = {2009}
}
Comments
2 pages