On the distribution of linear combinations of eigenvalues of the Anderson model
Mathematical Physics
2008-09-02 v1 math.MP
Abstract
Probabilistic estimates on linear combinations of eigenvalues of the one dimensional Anderson model are derived. So far only estimates on the density of eigenvalues and of pairs were found by Wegner and by Minami. Our work was motivated by perturbative explorations of the Nonlinear Schroedinger Equation, where linear combinations of eigenvalues are the denominators and evaluation of their smallness is crucial.
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Cite
@article{arxiv.0809.0121,
title = {On the distribution of linear combinations of eigenvalues of the Anderson model},
author = {Shmuel Fishman and Yevgeny Krivolapov and Avy Soffer},
journal= {arXiv preprint arXiv:0809.0121},
year = {2008}
}
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12 pages, 0 figures