Curvature induced toroidal bound states
Quantum Physics
2009-11-10 v1
Abstract
Curvature induced bound state (E < 0) eigenvalues and eigenfunctions for a particle constrained to move on the surface of a torus are calculated. A limit on the number of bound states a torus with minor radius a and major radius R can support is obtained. A condition for mapping constrained particle wave functions on the torus into free particle wave functions is established.
Cite
@article{arxiv.quant-ph/0303083,
title = {Curvature induced toroidal bound states},
author = {M. Encinosa and L. Mott},
journal= {arXiv preprint arXiv:quant-ph/0303083},
year = {2009}
}
Comments
6 pages, no figures, Latex