arXiv Open Access 2013

On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator

Clément Dubuisson

Lihat Sumber

Abstrak

We prove a Lieb-Thirring type inequality for a complex perturbation of a d-dimensional massive Dirac operator $D_m, m\geq 0$ whose spectrum is $]-\infty , -m]\cup[m , +\infty[$. The difficulty of the study is that the unperturbed operator is not bounded from below in this case, and, to overcome it, we use the methods of complex function theory. The methods of the article also give similar results for complex perturbations of the Klein-Gordon operator.

Topik & Kata Kunci

math.SP

Penulis (1)

Clément Dubuisson

Format Sitasi

APA MLA BibTeX

Dubuisson, C. (2013). On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator. https://arxiv.org/abs/1305.5214

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓