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Resolvent Estimates for Non-Self-Adjoint Magnetic Schrödinger Operators (1805.01932v1)
Published 4 May 2018 in math.SP
Abstract: We examine semiclassical magnetic Schr\"{o}dinger operators with complex electric potentials. Under suitable conditions on the magnetic and electric potentials, we prove a resolvent estimate for spectral parameters in an unbounded parabolic neighborhood of the imaginary axis.