Semi-classical States for Non-self-adjoint Schrodinger Operators
Spectral Theory
2009-10-31 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/9803129,
title = {Semi-classical States for Non-self-adjoint Schrodinger Operators},
author = {E B Davies},
journal= {arXiv preprint arXiv:math/9803129},
year = {2009}
}