Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds
Language
en
Article de revue
This item was published in
Acta Applicandae Mathematicae. 2010, vol. 110, p. 1449-1459
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Spectral theory
Schrödinger operator
Cwikel-Lieb-Rozenblum estimates
Lieb-Thirring estimates
Riemannian manifolds
Origin
Hal imported