Spectral Instability for Some Schroedinger Operators
A. Aslanyan, E. B. Davies
Abstract
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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