Local trace asymptotics in the self-generated magnetic field

Abstract

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

arXiv comment24 pp

References in corpus (2)

• Stability of Matter in Magnetic Fields
• Ground state energy of large atoms in a self-generated magnetic field

Cited by in corpus (2)

• Relativistic Scott correction in self-generated magnetic fields
• Global trace asymptotics in the self-generated magnetic field in the case of Coulomb-like singularities