On Eigenvalues Problem for Self-adjoint Operators with Singular Perturbations

2001/04/18 by Sylwia Kondej, Kondej, Sylwia
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0104028

arxiv created 2001/04/24 · arxiv updated 2009/11/30

Abstract

We investigate the eigengenvalues problem for self-adjoint operators with the singular perturbations. The general results presented here includes weakly as well as strongly singular cases. We illustrate these results on two models which correspond to so-called additive strongly singular perturbations.

Related

• Spectral perturbation bounds for selfadjoint operators
• Correct Singular Perturbations of the Laplace Operator with the Spectrum of the Unperturbed Operator
• Direct and inverse spectral problems for rank-one perturbations of\n self-adjoint operators
• Relatively bounded perturbations of J-non-negative operators
• On the distribution of eigenvalues of non-selfadjoint operators