Isaac Newton Institute for Mathematical Sciences

Spectral properties of the perturbed Landau Hamiltonian

Authors: G. Rozenblioum (Chalmers university of Technology), G. Tashchiyan (StPetersburg University for Telecommunications)

Abstract

The Landau Hamiltonian describes the movement of a charged quantum particle confined to a plane, under the action of the constant magnetic field. The spectrum of this operator consists of the landau levels, infinitely degenerate eigenvalues placed at the points of an arithmetic progression. We describe what happens with the spectrum and the spectral subspaces under the perturbation of the operator by localyzed magnetic and electric fields

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