A New Coherent States Approach to Semiclassics Which Gives Scott’s Correction |
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Authors: | Jan Philip Solovej Wolfgang L Spitzer |
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Institution: | (1) Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark;(2) Department of Mathematics, University of California, Davis One Shields Avenue, CA, 95616-8633, USA |
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Abstract: | We introduce a new semiclassical calculus by generalizing the standard coherent states. This is applied to the semiclassical expansion for the sum of negative eigenvalues of Schrödinger operators which leads to a new proof of the Scott correction for non-relativistic molecules.Work partially supported by an EU TMR grant, by a grant from the Danish research council, and by MaPhySto – Centre for Mathematical Physics and Stochastics, funded by a grant from The Danish National Research Foundation. ©2003 by the authors. This article may be reproduced in its entirety for non-commercial purposes. |
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