Local trace asymptotics in the self-generated magnetic field

Details Local trace asymptotics in the self-generated magnetic field Local trace asymptotics in the self-generated magnetic field

2011-08-21

arxiv.org/abs/1108.4188v4

Mathematics

Spectral Theory

24 pp

Scientific paper

We consider a semiclassical asymptotics of local trace for the 3D-Schroedinger operator with self-generated magnetic field; it is given by Weyl expression with O(h^{-1}) error and under standard condition to Hamiltonian trajectories even o(h^{-1}). In comparison to v1,2 errors are corrected, new results are added and more details are provided. Misprint correction in comparison to v3

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