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

A. Pushnitski ; Grigori Rozenblioum (Institutionen för matematiska vetenskaper, matematik)
Documenta Mathematica (1431-0643). Vol. 12 (2007), p. 569-586.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: schrodinger operator, magnetic field, spectral asymptotics, exterior, problem, SCHRODINGER-OPERATORS, SPECTRAL ASYMPTOTICS, PAULI OPERATORS, MAGNETIC-FIELDS



Denna post skapades 2008-12-15. Senast ändrad 2008-12-15.
CPL Pubid: 81398

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

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