English

Keller-type bounds for Dirac operators perturbed by rigid potentials

Spectral Theory 2022-05-23 v2 Analysis of PDEs

Abstract

In this paper we are interested in generalizing Keller-type eigenvalue estimates for the non-selfadjoint Schr\"{o}dinger operator to the Dirac operator, imposing some suitable rigidity conditions on the matricial structure of the potential, without necessarily requiring the smallness of its norm.

Keywords

Cite

@article{arxiv.2108.12854,
  title  = {Keller-type bounds for Dirac operators perturbed by rigid potentials},
  author = {Haruya Mizutani and Nico Michele Schiavone},
  journal= {arXiv preprint arXiv:2108.12854},
  year   = {2022}
}

Comments

40 pages, 4 figures, added references in Section 1

R2 v1 2026-06-24T05:30:20.474Z