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

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

2011-12-12

arxiv.org/abs/1112.2487v2

Mathematics

Spectral Theory

19 pp

Scientific paper

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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