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

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

1998-03-26

arxiv.org/abs/math/9803129v1

Mathematics

Spectral Theory

Scientific paper

10.1007/s002200050521

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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