Geodesic
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
Documenta mathematica, Tome 12 (2007), pp. 569-586.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the Schrödinger 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.
Classification : 35P20, 35Q40
Keywords: Schrödinger operator, magnetic field, spectral asymptotics, exterior problem 
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     author = {Pushnitski, Alexander and Rozenblum, Grigori},
     title = {Eigenvalue clusters of the {Landau} {Hamiltonian} in the exterior of a compact domain},
     journal = {Documenta mathematica},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a3/}
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Pushnitski, Alexander; Rozenblum, Grigori. Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain. Documenta mathematica, Tome 12 (2007), pp. 569-586. http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a3/