Eigenvalue Bounds for Perturbations of Schrodinger Operators and Jacobi Matrices With Regular Ground States
Rupert L. Frank, Barry Simon, Timo Weidl
TL;DR
This paper develops comparison theorems for eigenvalues of perturbed Schrödinger operators, enabling the derivation of Lieb-Thirring bounds for certain non-free operators and Jacobi matrices, advancing spectral analysis methods.
Contribution
It introduces general comparison theorems for eigenvalues of perturbed Schrödinger operators, facilitating new Lieb-Thirring bounds for non-free operators and Jacobi matrices.
Findings
Established comparison theorems for eigenvalues.
Derived Lieb-Thirring bounds for specific operators.
Extended spectral analysis techniques.
Abstract
We prove general comparison theorems for eigenvalues of perturbed Schrodinger operators that allow proof of Lieb--Thirring bounds for suitable non-free Schrodinger operators and Jacobi matrices.
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