New coherent states and a new proof of the Scott correction

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We introduce new coherent states and use them to prove semi-classical estimates for Schrödinger 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.
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

Keywords

Mathematical Physics, Spectral Theory, 81Q20, 35P20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/57168

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0210009
 http://arxiv.org/abs/math-ph/0210009

Collections

arXiv