On the spectral investigation of the scattering problem for some version of one-dimensional Schrödinger equation with turning point

DOI10.1186/1687-2770-2014-97zbMath1315.34094OpenAlexW2144794957WikidataQ59322278 ScholiaQ59322278MaRDI QIDQ476998

A. H. Nasser, Zaki F. A. El-Raheem

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-97

zbMATH Keywords

eigenvalue asymptoticsSchrödinger equationSturm-Liouvillescattering functionnormalizing numbers

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Scattering properties of Sturm-Liouville equations with sign-alternating weight and transmission condition at turning point, Unnamed Item, The inverse scattering problem of some Schrödinger type equation with turning point

Cites Work

• On boundary value problem solvability theory for a class of high-order operator-differential equations
• On the spectral property of a Dirichlet problem with explosive factor.
• Solvability conditions for boundary-value problems for elliptic operator-differential equations with discontinuous coefficient
• Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil
• The One-Dimenshional Inverse Wave Spectral Problem with Discontinuous Wave Speed
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