Spectral Instability for Some Schroedinger Operators

A. Aslanyan; E. B. Davies

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arXiv · math/9810063

Spectral Instability for Some Schroedinger Operators

A. Aslanyan·E. B. Davies

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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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BibTeX RIS

A. Aslanyan, E. B. Davies. 1998-10-09. Spectral Instability for Some Schroedinger Operators. https://arxiv.org/abs/math/9810063

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