Khryashchev, S. V. On the discrete spectrum of a perturbed periodic Schrödinger operator. (English. Russian original) Zbl 0825.47014 J. Math. Sci., New York 71, No. 1, 2269-2272 (1994); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 190, 157-162 (1991). Cited in 2 Documents MSC: 47F05 General theory of partial differential operators 47A40 Scattering theory of linear operators 47A10 Spectrum, resolvent 35J10 Schrödinger operator, Schrödinger equation Keywords:discrete spectrum; perturbed periodic Schrödinger operator PDFBibTeX XMLCite \textit{S. V. Khryashchev}, J. Math. Sci., New York 71, No. 1, 2269--2272 (1991; Zbl 0825.47014); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 190, 157--162 (1991) Full Text: DOI References: [1] M. Sh. Birman, ”The discrete spectrum in a gap of the perturbed operator at large coupling constants,” in: Proceedings of the Conference: Rigorous Results in Quantum Dynamics (1990) (in press). [2] I. M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Israel Program for Scientific Translations, Jerusalem (1965). · Zbl 0143.36505 [3] M. Sh. Birman, ”On the spectrum of singular boundary problems,” Mat. Sb.,55 (97), 125–174 (1961). [4] M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, New York (1978). · Zbl 0401.47001 [5] F. S. Rofe-Beketov, ”Spectrum perturbations, the Kneser-type constants and the effective masses of zone-type potentials,” in: Constructive Theory of Functions’ 84, Sofia (1984), pp. 757–766. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.