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arXiv · 2609.11603

On asymptotic expansions of the density of states for Poisson distributed random Schr\"odinger operators

Jan Fischer·David Hasler·Jannis Koberstein
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Abstract

We study a random Schr\"odinger operator with a potential distributed according to a Poisson process. Asymptotic expansions for traces 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. As an application we derive bounds on the integrated density of states.

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Jan Fischer, David Hasler, Jannis Koberstein. 2026-09-10. On asymptotic expansions of the density of states for Poisson distributed random Schr\"odinger operators. https://arxiv.org/abs/2609.11603

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