广义合金型电位的Wegner估计

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI:10.1215/KJM/1256219155

Jyunichi Takahara

引用次数: 1

摘要

W.Kirsch和I.Veseli证明了在杂质的每个固定位置上具有负能量的广义合金型势的Schr¨odinger算子的广义Wegner估计。本文也将杂质的位置作为随机变量，证明了一个类似的估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Wegner estimate for a generalized alloy type potential

W.Kirsch and I.Veseli´c proved a generalized Wegner estimate for Schr¨odinger operators with generalized alloy type potentials at negative energies for each ﬁxed position of impurities. In this paper, a similar estimate is proven treating also the position of impurities as random variables.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.