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Absence of eigenvalues of two-dimensional magnetic Schroedinger operators (1710.06176v1)
Published 17 Oct 2017 in math.SP, math-ph, math.AP, and math.MP
Abstract: By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schroedinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov-Bohm field are also covered.
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