Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring Estimates for Schrödinger Operators on Riemannian Manifolds
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en
Article de revue
Este ítem está publicado en
Acta Applicandae Mathematicae. 2010, vol. 110, p. 1449-1459
Springer Verlag
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Spectral theory
Schrödinger operator
Cwikel-Lieb-Rozenblum estimates
Lieb-Thirring estimates
Riemannian manifolds
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