On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator
Language
en
Article de revue
This item was published in
Integral Equations and Operator Theory. 2014, vol. 78, n° 2, p. 249-269
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Dirac operator
complex perturbation
discrete spectrum
Lieb-Thirring type inequality
conformal mapping
perturbation determinant
Origin
Hal imported