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arXiv · 2208.01578

On asymptotic expansions of resolvents for Poisson distributed random Schr\"odinger operators

David Hasler·Jannis Koberstein
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Abstract

We study expectation values of matrix elements of the resolvent for a random Schr\"odinger operator with potential distributed according to a Poisson process. Asymptotic expansions for these matrix elements of resolvents in the limit of small disorder are derived. Explicit estimates for the expansion coefficients are given and we show that their infinite volume limits are finite as the spectral parameter approaches the spectrum of the free Laplacian.

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David Hasler, Jannis Koberstein. 2022-08-02. On asymptotic expansions of resolvents for Poisson distributed random Schr\"odinger operators. https://doi.org/10.1016/j.jmaa.2026.130694

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