Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime

Details Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime

2000-03-07

arxiv.org/abs/math/0003044v1

Mathematics

Spectral Theory

17 pages, 3 figures

Scientific paper

We give a spectral description of the semi-classical Schrodinger operator
with a piecewise linear, complex valued potential. Moreover, using these
results, we show how an arbitrarily small bounded perturbation of a
non-self-adjoint operator can completely change the spectrum of the operator.

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