A new coherent states approach to semiclassics which gives Scott's correction
Mathematical Physics
2009-11-07 v3 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.
Cite
@article{arxiv.math-ph/0208044,
title = {A new coherent states approach to semiclassics which gives Scott's correction},
author = {Jan Philip Solovej and Wolfgang L. Spitzer},
journal= {arXiv preprint arXiv:math-ph/0208044},
year = {2009}
}
Comments
A misprint in the definition of new coherent states corrected