New coherent states and a new proof of the Scott correction
Mathematical Physics
2007-05-23 v2 math.MP
Spectral Theory
Abstract
We introduce new coherent states and use them to prove semi-classical estimates for Schr\"odinger operators with regular potentials. This can be further applied to the Thomas-Fermi potential yielding a new proof of the Scott correction for molecules. This is the short version of a paper by the authors archived at math-ph/0208044.
Keywords
Cite
@article{arxiv.math-ph/0210009,
title = {New coherent states and a new proof of the Scott correction},
author = {Jan Philip Solovej and Wolfgang L Spitzer},
journal= {arXiv preprint arXiv:math-ph/0210009},
year = {2007}
}
Comments
A misprint in definition of new coherent states corrected. To appear in Proceedings of the UAB 2002 Int'l Conference on Differential Equations and Mathematics Physics