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Spectral properties of the operators \(H\psi =-\psi_{xx}+p(x)\psi +v(\epsilon x)\psi\), p is periodic. (English) Zbl 0723.47042
Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 85-107 (1990).
Summary: [For the entire collection see Zbl 0708.00010.]
We describe the spectrum in \(L_ 2({\mathbb{R}})\) and the asymptotic behavior of the eigenfunctions of the operator indicated in the title as \(\epsilon\to 0\).

MSC:
47F05 General theory of partial differential operators
47A10 Spectrum, resolvent
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