Spectral Instability for Some Schroedinger Operators

Details Spectral Instability for Some Schroedinger Operators Spectral Instability for Some Schroedinger Operators

1998-10-09

arxiv.org/abs/math/9810063v1

Mathematics

Spectral Theory

27 pages, 6 Postscript figures

Scientific paper

We define the concept of instability index of an isolated eigenvalue of a
non-self-adjoint operator, and prove some of its general properties. We also
describe a stable procedure for computing this index for Schroedinger operators
in one dimension, and apply it to the complex resonances of a typical operator
with a dilation analytic potential.

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