Geodesic
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
Documenta mathematica, Tome 12 (2007), pp. 569-586
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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.
DOI : 10.4171/dm/235
Classification : 35P20, 35Q40
Mots-clés : Schrödinger operator, spectral asymptotics, magnetic field, exterior problem 
@article{10_4171_dm_235,
     author = {Grigori Rozenblum and Alexander Pushnitski},
     title = {Eigenvalue clusters of the {Landau} {Hamiltonian} in the exterior of a compact domain},
     journal = {Documenta mathematica},
     pages = {569--586},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/235},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/235/}
}
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%A Alexander Pushnitski
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%J Documenta mathematica
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Grigori Rozenblum; Alexander Pushnitski. Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain. Documenta mathematica, Tome 12 (2007), pp. 569-586. doi: 10.4171/dm/235

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