07-116 O. Safronov and B. Vainberg
Eigenvalue estimates for random Schr\"odinger operators (157K, pdf) May 9, 07
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. In this paper we study the negative eigenvalues $\lambda_j$ of the Schr\"odinger operator $-\Delta-V(x)$. We prove that $\sum_j|\lambda_j|^\gamma$ converges for random $L^{d+2\gamma}$-potentials with probability 1. One of the important assumptions in our paper is that the expectation of $V(x)$ is zero at every point $x$.

Files: 07-116.src( 07-116.keywords , SV0503.pdf.mm )