Geodesic
On the Schrödinger equation with a random potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 415-424 
L. A. Pastur. On the Schrödinger equation with a random potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 6 (1971) no. 3, pp. 415-424. http://geodesic.mathdoc.fr/item/TMF_1971_6_3_a9/
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     author = {L. A. Pastur},
     title = {On~the~Schr\"odinger equation with a~random potential},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the ergodic properties of various quantities connected with a Schrödinger equation with a random potential. For the case when the potential is a metrically transitive (ergodic) random field with realizations that are bounded below it is shown that these quantities tend to nonrandom limits with probability 1 when the volume in which the equation is considered tends to infinity. It is shown that these limiting values are independent of the boundary conditions.

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