New coherent states and a new proof of the Scott correction
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🧮 math-ph
math.MPmath.SP
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coherentcorrectionproofscottstatesappliedarchivedauthors
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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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