Four-parameter \(1/r^2\) singular short-range potential with rich bound states and a resonance spectrum

DOI10.1134/S0040577918060053zbMath1398.81083WikidataQ129643062 ScholiaQ129643062MaRDI QIDQ1791885

A. D. Alhaidari

Publication date: 11 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

recurrence relationresonancebound statetridiagonal representation\(1/r^2\) singular potentialparameter spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Resonance in context of PDEs (35B34) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications ⋮ Open problem in orthogonal polynomials

Cites Work

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