Symmetric Potentials Beget Symmetric Ground States
Mathematical Physics
2016-11-08 v1 Analysis of PDEs
Classical Analysis and ODEs
math.MP
Abstract
Using an unusual type of symmetric average, we show that for several common equations involving quite general potentials possessing symmetry, the ground state, if it exists, must also be symmetric.
Keywords
Cite
@article{arxiv.1611.01813,
title = {Symmetric Potentials Beget Symmetric Ground States},
author = {Richard Chapling},
journal= {arXiv preprint arXiv:1611.01813},
year = {2016}
}
Comments
15 pages