On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator
Langue
en
Article de revue
Ce document a été publié dans
Integral Equations and Operator Theory. 2014, vol. 78, n° 2, p. 249-269
Springer Verlag
Résumé en anglais
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 ...Lire la suite >
Mots clés en anglais
Dirac operator
complex perturbation
discrete spectrum
Lieb-Thirring type inequality
conformal mapping
perturbation determinant