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

S. Kotani

2003, v.9, №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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