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

2007/07/29 by Alexander Pushnitski, Grigori Rozenblum, Pushnitski, Alexander +1
Mathematics · #35P20 #35Q40 #Algebraic and Geometric Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0707.4297

openalex publication_date 2007/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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