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On spectral properties of one-dimensional disperse crystals. (Russian. English summary) Zbl 0555.34020

The connection between spectral characteristics of the one-dimensional Schrödinger operator \(l_ a(y)=-y"+q_ a(x)y\) with a periodic potential \(q_ a(x)=\sum^{\infty}_{n=-\infty}q(x-na)\) as \(a\to \infty\) and spectral characteristics of the Schrödinger operator \(l(y)=-y"+q(x)y\) with decreasing potential \(q(x)\) are studied.

MSC:

34L99 Ordinary differential operators
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