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I'm a graduate student and I am doing a simple work on 1D Anderson localization. I need to derive the expression for the localization length when the energies are randomly distributed in the region of [tex]\left[ \frac{W}{2},-\frac{W}{2} \right] [/tex]. I know the localization length in the limit [tex]W<<V[/tex], where [tex]V[/tex] are the of diagonal elements of the hamiltonian, is [tex]\frac{W^2}{96V^2}[/tex]. this expression can be derived while using the second order green function treatment. Since quantum mechanics is not my main studies, I didn't understand the derivation from the green function (I have only found it in Thouless book - Ill condensed matter). If someone know how to derive it, It will help me a lot, or at least know a good reference which explains it simply.

forgive me for my bad English.

thanks,

Tal Weiss.