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arXiv · 1112.2487

Global trace asymptotics in the self-generated magnetic field in the case of Coulomb-like singularities

Victor Ivrii
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Abstract

We consider a semiclassical asymptotics of local trace for the 3D-Schroedinger operator with self-generated magnetic field in the case when electric potential has one or several Coulomb-like singularities; it is given by Weyl expression plus (magnetic) Scott correction term with O(h^{-4/3}) error provided distance between singularities is large enough. Significant improvement and simplification in comparison to v1.

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Victor Ivrii. 2011-12-23. Global trace asymptotics in the self-generated magnetic field in the case of Coulomb-like singularities. https://arxiv.org/abs/1112.2487

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