This article is cited in 12 papers

On the Schrödinger equation with a random potential

L. A. Pastur


Abstract: 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.

Received: 12.06.1970

 English version: Theoretical and Mathematical Physics, 1971, 6:3, 299–306

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