English

On Eigenvalues Problem for Self-adjoint Operators with Singular Perturbations

Mathematical Physics 2007-05-23 v2 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0104028,
  title  = {On Eigenvalues Problem for Self-adjoint Operators with Singular Perturbations},
  author = {Sylwia Kondej},
  journal= {arXiv preprint arXiv:math-ph/0104028},
  year   = {2007}
}