On the perturbation theory of instable isolated eigenvalues | Zendy

Demuth M. | Zendy

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On the perturbation theory of instable isolated eigenvalues

Author(s) -

Demuth M.

Publication year - 1974

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19740640122

Subject(s) - eigenvalues and eigenvectors , mathematics , perturbation (astronomy) , eigenvalue perturbation , poincaré–lindstedt method , embedding , mathematical analysis , singular perturbation , mathematical physics , quantum mechanics , physics , artificial intelligence , computer science

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.

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