Abstract
This paper deals with boundary-value problems on the closed interval [a, b] for the Schrodinger equation with potential of the form q(x, μ−1x) + e−1Q(e−1x), where q(x, ζ) is a 1-periodic (in ζ) function, Q(ξ) is a compactly supported function, 0 ∈ (a, b), and μ, e are small positive parameters. The solutions of these boundary-value problemsup to O(e +μ) are constructed by combining the homogenization method and the method of matching asymptotic expansions.
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