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Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds
Langue
en
Article de revue
Ce document a été publié dans
Acta Applicandae Mathematicae. 2010, vol. 110, p. 1449-1459
Springer Verlag
Résumé en anglais
Let M be a general complete Riemannian manifold and consider a Schrödinger operator − + V on L2(M). We prove Cwikel-Lieb-Rozenblum as well as Lieb-Thirring type estimates for − + V . These estimates are given in terms of ...Lire la suite >
Let M be a general complete Riemannian manifold and consider a Schrödinger operator − + V on L2(M). We prove Cwikel-Lieb-Rozenblum as well as Lieb-Thirring type estimates for − + V . These estimates are given in terms of the potential and the heat kernel of the Laplacian on the manifold. Some of our results hold also for Schrödinger operators with complex-valued potentials.< Réduire
Mots clés en anglais
Spectral theory
Schrödinger operator
Cwikel-Lieb-Rozenblum estimates
Lieb-Thirring estimates
Riemannian manifolds
Origine
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