95-102 Fr\'ed\'eric Klopp.

A low concentration asymptotic expansion for the density of states of a random Schr\"odinger operator with Poisson disorder. (65K, AMSTeX) Feb 22, 95

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Abstract. In this paper, we study the density of states of a random Schr\"odinger operator of the form $H_\omega=-\Delta+V_\omega$ where $V_\omega$ is a Poisson potential (i.e a Poisson random field) of concentration $\mu$. We show that $N_\mu(d\lambda)$, the density of states of $H_\omega$, admits an asymptotic expansion in $\mu$ when $\mu\to0$. Then, we use this expansion to deduce the behaviour of the integrated density of states of $H_\omega$ in the energy interval $(-\infty,0)$ when $\mu$ goes to 0.

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