Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

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We consider the Schrodinger operator with a constant magnetic field in the exterior of a compact domain on the plane. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We discuss the rate of accumulation of eigenvalues in a fixed cluster.
16 pages, Latex

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Spectral Theory, Mathematical Physics, 35P20, 35Q40

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http://salesiana.dossiersoluciones.com/handle/123456789/135218

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.4297
 http://arxiv.org/abs/0707.4297

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arXiv