## 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

### Keywords:

asymptotic behavior of the eigenfunctions

Zbl 0708.00010