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Eigenvalue Asymptotics for Confining Magnetic Schrödinger Operators with Complex Potentials

Eigenvalue Asymptotics for Confining Magnetic Schrödinger Operators with Complex Potentials

Abstract This article is devoted to the spectral analysis of the electromagnetic Schrödinger operator on the Euclidean plane. In the semiclassical limit, we derive a pseudo-differential effective operator that allows us to describe the spectrum in various situations and appropriate regions of the complex plane. Not only results of the …