Asymptotics of the spectrum of the Sturm-Liouville operator with local interaction

DOI10.1134/S1064562410040253zbMath1207.47040OpenAlexW2079807331MaRDI QIDQ600756

A. G. Kostyuchenko, R. S. Ismagilov

Publication date: 1 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410040253

zbMATH Keywords

Schrödinger operatorsspectrumpoint interactions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Cites Work

• One-dimensional point interactions
• A'Campo's theorem on the discriminant
• Perturbation of Schrödinger Hamiltonians by measures—Self-adjointness and lower semiboundedness
• 1-D Schr\"odinger operators with local point interactions: a review

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