05-353 Jackson Chan

Methods of variations of potential of quasi-periodic Schrodinger equation (424K, dvi) Oct 4, 05

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Abstract. We study the one-dimensional discrete Schrodinger equation. We show that for "typical" C^3 potential V, if the coupling constant is large, then for most frequencies, the Lyapunov exponent is positive for all energies, and the corresponding eigenfunctions decay exponentially.

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