New coherent states and a new proof of the Scott correction

Details New coherent states and a new proof of the Scott correction New coherent states and a new proof of the Scott correction

2002-10-05

arxiv.org/abs/math-ph/0210009v2

Physics

Mathematical Physics

A misprint in definition of new coherent states corrected. To appear in Proceedings of the UAB 2002 Int'l Conference on Differ

Scientific paper

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.

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