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A quasi-two-dimensional charged particle in a tilted magnetic field: Asymptotic properties of the spectrum. (English) Zbl 0925.35117
Summary: A model of a quantum-mechanical particle in contact interaction with a plane in the presence of a homogeneous magnetic field is discussed. We show that, for large values of the interaction constant, the Hamiltonian of such a system has a point spectrum whose low-energy part is close to the Landau level system.

35P20 Asymptotic distributions of eigenvalues in context of PDEs
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
47N50 Applications of operator theory in the physical sciences
81V10 Electromagnetic interaction; quantum electrodynamics