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

E B Davies
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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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E B Davies. 1998-03-26. Semi-classical States for Non-self-adjoint Schrodinger Operators. https://doi.org/10.1007/s002200050521

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