ON NON-SELFADJOINT PERTURBATIONS OF INFINITE BAND SCHRÖDINGER OPERATORS AND KATO METHOD
Langue
en
Communication dans un congrès
Ce document a été publié dans
Proceedings of the conference "Harmonic Analysis, Function Theory, Operator Theory and Applications 2015", Theta Foundation, Bucharest,Roumanie, 2017., Proceedings of the conference "Harmonic Analysis, Function Theory, Operator Theory and Applications 2015", Theta Foundation, Bucharest,Roumanie, 2017., "Harmonic Analysis, Function Theory, Operator Theory and Applications 2015", Université de Bordeaux, 2015, Bordeaux. 2017p. 171-182
Theta Foundation, Bucharest, Roumanie
Résumé en anglais
Let H_0 = −∆ + V_0 be a multidimensional Schrödinger operator with a real-valued potential and infinite band spectrum, and H = H_0 + V be its non-selfadjoint perturbation defined with the help of Kato approach. We prove ...Lire la suite >
Let H_0 = −∆ + V_0 be a multidimensional Schrödinger operator with a real-valued potential and infinite band spectrum, and H = H_0 + V be its non-selfadjoint perturbation defined with the help of Kato approach. We prove Lieb-Thirring type inequalities for the discrete spectrum of H in the case when V_0 ∈ L^\infty (R^d) and V ∈ L^p(R^d) for certain p's.< Réduire
Mots clés en anglais
Schrödinger operators
infinite band spectrum
Lieb-Thirring inequalities
relatively compact perturbation
Origine
Importé de halUnités de recherche