The structure of eigenfunctions of one-dimensional unordered structures

In this work it is shown that all the eigenfunctions of the one-dimensional random Schröger operator $H=-d^2/dt^2+q(t,\omega)$, $t\in R^1$, with random potential $q(t,\omega)$, $\omega\in\Omega$, of Markov type decrease exponentially with probability 1. This confirms an old conjecture of N. F. Mott which has been discussed many times in the physics literature.
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