ct 2 00 5 Method of variations of potential of quasi - periodic Schrödinger equation
نویسنده
چکیده
We study the one-dimensional discrete quasi-periodic Schrödinger equation −ϕ(n + 1) − ϕ(n − 1) + λV (x + nω)ϕ(n) = Eϕ(n), n ∈ Z We show that for " typical " C 3 potential V , if the coupling constant λ is large, then for most frequencies ω, the Lyapunov exponent is positive for all energies E, and the corresponding eigenfunctions ϕ decay exponentially.
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تاریخ انتشار 2005