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arxiv: 0707.0998 · v1 · submitted 2007-07-06 · 🧮 math.SP · math-ph· math.MP

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

classification 🧮 math.SP math-phmath.MP
keywords operatorsschrodingerboundsjacobimatricesallowcomparisoneigenvalue
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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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