A Thermodynamic Limit of Relative Fredholm Determinant of Green Operators for Random Schrodinger Operators,

S. Kotani

2003, v.9, Issue 4, 709-716

ABSTRACT

We consider Schrodinger operators with random potentials and define a thermodynamic limit of relative Fredholm determinant for Green operators. We remark that this quantity relates to the integrated density of states through a generalized Stieltjes transformation.

Keywords: Random Schrodinger operator,Stieltjes transformation

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
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S. Kotani