On the perturbation theory of instable isolated eigenvalues

✍ Scribed by M. Demuth

• Publisher: John Wiley and Sons
• Year: 1974
• Tongue: English
• Weight: 446 KB
• Volume: 64
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19740640122

✦ Synopsis

Abstract

The problem of the perturbation of an operator having a continuous spectrum and an isolated eigenvalue λ~0~ is considered by means of the theory on embedded eigenvalues. The perturbation is divided up into two parts. One part is used for embedding the isolated eigenvalue λ~0~. This embedded eigenvalue becomes instable by the second part of the perturbation and spectral concentration is given near λ~0~. The general model is illustrated by a simple example.