On the distribution of linear combinations of eigenvalues of the Anderson model

Details On the distribution of linear combinations of eigenvalues of the Anderson model On the distribution of linear combinations of eigenvalues of the Anderson model

2008-08-31

arxiv.org/abs/0809.0121v1

Physics

Mathematical Physics

12 pages, 0 figures

Scientific paper

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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