Journal of Mathematics of Kyoto University

Wegner estimate for a generalized alloy type potential

Jyunichi Takahara

Full-text: Open access

Abstract

W.Kirsch and I.Veselić proved a generalized Wegner estimate for Schrödinger 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.

Article information

Source
J. Math. Kyoto Univ., Volume 49, Number 2 (2009), 255-265.

Dates
First available in Project Euclid: 22 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1256219155

Digital Object Identifier
doi:10.1215/kjm/1256219155

Mathematical Reviews number (MathSciNet)
MR2571840

Zentralblatt MATH identifier
1185.35047

Citation

Takahara, Jyunichi. Wegner estimate for a generalized alloy type potential. J. Math. Kyoto Univ. 49 (2009), no. 2, 255--265. doi:10.1215/kjm/1256219155. https://projecteuclid.org/euclid.kjm/1256219155


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