On the Spectral Properties of the Perturbed Landau Hamiltonian

2006/05/11 by Rozenblum, Grigori, Tashchiyan, Grigory
#35P15 #47F05 #81Q15 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.math-ph/0605038

Abstract

The Landau Hamiltonian governing the behavior of a quantum particle in dimension 2 in a constant magnetic field is perturbed by a compactly supported magnetic field and a similar electric field. We describe how the spectral subspaces change and how the Landau levels split under this perturbation.

Related

• On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field
• The Fate of the Landau Levels under Perturbations of Constant Sign
• A trace formula and high energy spectral asymptotics for the perturbed Landau Hamiltonian
• Spectrum of the perturbed Landau-Dirac operator
• Sharp spectral estimates for the perturbed Landau Hamiltonian with L^p potentials