The intervals of oscillations in the solutions of the radial Schrödinger differential equation

DOI10.1186/s13662-016-0777-7zbMath1419.34061OpenAlexW2181499550WikidataQ59479340 ScholiaQ59479340MaRDI QIDQ1796707

Dimitris M. Christodoulou, Qutaibeh D. Katatbeh, James Graham-Eagle

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0777-7

zbMATH Keywords

transformationsoscillationsSchrödinger differential equationsecond-order linear differential equationsKummer's differential equationanalytical theoryWhittaker differential equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30)

Related Items (2)

Generalized uncertainty principle effects in the Hořava-Lifshitz quantum theory of gravity ⋮ A criterion for oscillations in the solutions of the polytropic Lane-Emden equations

Cites Work

• A program for predicting the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential equations
• CP methods and the evaluation of negative energy Coulomb Whittaker functions
• Coulomb plus power-law potentials in quantum mechanics
• Spectral bounds for the Hellmann potential
• Spectral bounds for the cutoff Coulomb potential
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