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arxiv: 1805.01932 · v1 · pith:ULHEZMLKnew · submitted 2018-05-04 · 🧮 math.SP

Resolvent Estimates for Non-Self-Adjoint Magnetic Schr\"{o}dinger Operators

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keywords magneticdingerelectricoperatorspotentialsresolventschraxis
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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.

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