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

A Pushnitski, G Rozenblum

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

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
Original languageEnglish
Pages (from-to)569 - 586
Number of pages18
JournalDOCUMENTA MATHEMATICA
Volume12
Publication statusPublished - 2007

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