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Published August 2008 | Submitted
Journal Article Open

Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States

Abstract

We prove general comparison theorems for eigenvalues of perturbed Schrödinger operators that allow proof of Lieb–Thirring bounds for suitable non-free Schrödinger operators and Jacobi matrices.

Additional Information

© Springer-Verlag 2008. Received: 28 June 2007 / Accepted: 19 July 2007 Published online: 14 March 2008. Communicated by M. Aizenman. Supported in part by NSF Grant DMS-0140592 and U.S.–Israel Binational Science Foundation (BSF) Grant No. 2002068. Supported in part by DFG grant WE-1964 2/1.

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