Pavlov, B. S.; Smirnov, N. V. On spectral properties of one-dimensional disperse crystals. (Russian. English summary) Zbl 0555.34020 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 197-211 (1984). 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. Cited in 1 Review MSC: 34L99 Ordinary differential operators Keywords:spectral characteristics; one-dimensional Schrödinger operator; periodic potential; decreasing potential PDFBibTeX XMLCite \textit{B. S. Pavlov} and \textit{N. V. Smirnov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 197--211 (1984; Zbl 0555.34020) Full Text: EuDML