## Spectral properties of adiabatically perturbed differential operators with periodic coefficients.(English)Zbl 0726.34068

Recent developments in quantum mechanics, Proc. Conf., Braşov/Rom. 1989, Math. Phys. Stud. 12, 97-112 (1991).
Summary: [For the entire collection see Zbl 0722.00044.]
We describe the asymptotic structure of the spectrum and the asymptotic behavior of the eigenfunctions of the operators $Hz=- z_{xx}+p(x)z+v(\epsilon x)z,$ p is periodic $$0<\epsilon \ll 1$$.

### MSC:

 34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators

Zbl 0722.00044