Communications in Mathematical Physics

, Volume 282, Issue 1, pp 199–208

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


  • Rupert L. Frank
    • Department of MathematicsPrinceton University
    • Mathematics 253-37California Institute of Technology
  • Timo Weidl
    • Department of Mathematics and PhysicsStuttgart University

DOI: 10.1007/s00220-008-0453-1

Cite this article as:
Frank, R.L., Simon, B. & Weidl, T. Commun. Math. Phys. (2008) 282: 199. doi:10.1007/s00220-008-0453-1


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.

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© Springer-Verlag 2008