English

Strong convergence of wave operators for a family of Dirac operators

Spectral Theory 2019-10-09 v3

Abstract

We consider a family of Dirac operators with potentials varying with respect to a parameter hh. The set of potentials has different power-like decay independent of hh. The proofs of existence and completeness of the wave operators are similar to that given in \cite{GAT}. We are mainly interested in the asymptotic behavior of the wave operators as hh\to\infty.

Keywords

Cite

@article{arxiv.1511.05908,
  title  = {Strong convergence of wave operators for a family of Dirac operators},
  author = {Hasan Almanasreh},
  journal= {arXiv preprint arXiv:1511.05908},
  year   = {2019}
}