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Corpus ID: 117267536

Schroedinger Operator with Strong Magnetic Field near Boundary

@article{Ivrii2010SchroedingerOW,
title={Schroedinger Operator with Strong Magnetic Field near Boundary},
author={Victor Ivrii},
journal={arXiv: Spectral Theory},
year={2010}
}

We consider 2-dimensional Schroedinger operator with the non-degenerating magnetic field in the domain with the boundary and under certain non-degeneracy assumptions we derive spectral asymptotics with the remainder estimate better than $O(h^{-1})$, up to $O(\mu^{-1}h^{-1})$ and the principal part $\asymp h^{-2}$ where $h\ll 1$ is Planck constant and $\mu \gg 1$ is the intensity of the magnetic field; $\mu h \le 1$. We also consider generalized Schr\"odinger-Pauli operator in the same frameworkβ¦Β Expand

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