Bound states in a nonlinear Kronig-Penney model
Condensed Matter
2009-10-30 v1
Abstract
We study the bound states of a Kronig Penney potential for a nonlinear one-dimensional Schroedinger equation. This potential consists of a large, but not necessarily infinite, number of equidistant delta-function wells. We show that the ground state can be highly degenerate. Under certain conditions furthermore, even the bound state that would normally be the highest can have almost the same energy as the ground state. This holds for simple periodic potentials as well.
Cite
@article{arxiv.cond-mat/9708035,
title = {Bound states in a nonlinear Kronig-Penney model},
author = {S. Theodorakis and E. Leontidis},
journal= {arXiv preprint arXiv:cond-mat/9708035},
year = {2009}
}
Comments
TeX file, figures available as postscript files upon request