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