Work

Persistence of embedded eigenvalues

Year: 2010

Type: preprint

Abstract: We consider conditions under which an embedded eigenvalue of a self-adjoint operator remains embedded under small perturbations. In the case of a simple eigenvalue embedded in continuous spectrum of multiplicity m < \infty we show that in favorable situations the set of small perturbations of a suitable Banach space which do not remove the eigenvalue form a smooth submanifold of co-dimension m.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1008.2099

Authors: Agmon, Shmuel, Herbst, Ira, Sasane, Sara Maad

Institutions: Hebrew University of Jerusalem, University of Virginia, Stockholm University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949901980

Cites: 20

Cited by:

Related to: 20