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Semi-classical States for Non-self-adjoint Schrodinger Operators

Abstract

We prove that the spectrum of certain non-self-adjoint Schrodinger operators is unstable in the semi-classical limit. Similar results hold for a fixed operator in the high energy limit. The method involves the construction of approximate semi-classical modes of the operator by the JWKB method for energies far from the spectrum

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    Last time updated on 11/12/2019