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.
%0 Journal Article
%1 MR2415477
%A Frank, Rupert L.
%A Simon, Barry
%A Weidl, Timo
%D 2008
%J Comm. Math. Phys.
%K Weidl
%N 1
%P 199--208
%R 10.1007/s00220-008-0453-1
%T Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states
%U https://doi.org/10.1007/s00220-008-0453-1
%V 282
%X 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.
@article{MR2415477,
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.},
added-at = {2022-03-30T16:34:37.000+0200},
author = {Frank, Rupert L. and Simon, Barry and Weidl, Timo},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2c48239b5efdc1fa34b17c0448c729302/elkepeter},
doi = {10.1007/s00220-008-0453-1},
interhash = {eaa4b3cafe5b5f21782bdd4f15b526e0},
intrahash = {c48239b5efdc1fa34b17c0448c729302},
issn = {0010-3616},
journal = {Comm. Math. Phys.},
keywords = {Weidl},
mrclass = {35J10 (35P15 47B36 47F05 47N50 81Q15)},
mrnumber = {2415477},
mrreviewer = {Pavel V. Exner},
number = 1,
pages = {199--208},
timestamp = {2023-04-21T12:17:33.000+0200},
title = {Eigenvalue bounds for perturbations of {S}chr\"{o}dinger operators and {J}acobi matrices with regular ground states},
url = {https://doi.org/10.1007/s00220-008-0453-1},
volume = 282,
year = 2008
}