ON COMPLEX PERTURBATIONS OF INFINITE BAND SCHRÖDINGER OPERATORS
Langue
en
Article de revue
Ce document a été publié dans
Methods in functional analysis and topology. 2015, vol. 21, n° 3, p. 237-245
Institute of Mathematics NAS of Ukraine
Résumé en anglais
Let H_0 = −d^2/dx^2 + V_0 be an infinite band Schrödinger operator on L^2(R) with a real-valued potential V_0 ∈ L^\infty (R). We study its complex perturbation H = H_0+V , defined in the form sense, and obtain the Lieb-Thirring ...Lire la suite >
Mots clés en anglais
Schrödinger operator
infinite band spectrum
Lieb-Thirring type inequalities
relatively compact perturbation