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

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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.
12 pages, 0 figures

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Mathematical Physics, 81V99

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http://salesiana.dossiersoluciones.com/handle/123456789/168105

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.0121
 http://arxiv.org/abs/0809.0121

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arXiv