Symmetry breaking for Schr\"odinger-Poisson-Slater energy
Mathematical Physics
2016-01-22 v1 Analysis of PDEs
math.MP
Abstract
We study the asymptotic behavior of ground state energy for Schr\"odinger-Poisson-Slater energy functional. We show that ground state energy restricted to radially symmetric functions is above the ground state energy when the number of particles is sufficiently large.
Keywords
Cite
@article{arxiv.1601.05626,
title = {Symmetry breaking for Schr\"odinger-Poisson-Slater energy},
author = {Jacopo Bellazzini and Marco Ghimenti},
journal= {arXiv preprint arXiv:1601.05626},
year = {2016}
}
Comments
10 pages