Spectral asymptotics for the Sturm-Liouville operator with point interaction
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Publication:366261
DOI10.1007/s10688-010-0036-8zbMath1271.47039OpenAlexW2060875604MaRDI QIDQ366261
R. S. Ismagilov, A. G. Kostyuchenko
Publication date: 12 September 2013
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10688-010-0036-8
Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)
Related Items (8)
Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution ⋮ Spectral theory for Sturm–Liouville operators with measure potentials through Otelbaev’s function ⋮ 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ Deficiency indices and discreteness property of block Jacobi matrices and Dirac operators with point interactions ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ Spectral properties of the Schrödinger operator with \(\delta\)-distribution ⋮ 1-D Schrödinger operators with local interactions on a discrete set with unbounded potential
Cites Work
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- Continuous spectrum of second-order ordinary differential operators
- One-dimensional point interactions
- 1-D Schrödinger operators with local point interactions on a discrete set
- Spectrum of the Sturm-Liouville equation with an oscillating potential
- A'Campo's theorem on the discriminant
- Perturbation of Schrödinger Hamiltonians by measures—Self-adjointness and lower semiboundedness
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