Meijer's \(G\)-functions series as exact solutions of the radial linear potential

DOI10.1016/S0034-4877(14)60007-0zbMath1286.81055OpenAlexW2049487477MaRDI QIDQ2447121

Mohammed Tayeb Meftah, Mohammed Abdelwahhab Benbitour

Publication date: 24 April 2014

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(14)60007-0

zbMATH Keywords

Mellin transformSchrödinger equationlinear potentialMeijer's function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

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• THE ISGUR–WISE FUNCTION IN AN IMPROVED QCD INSPIRED QUARK MODEL
• Analytic solution of the Schrödinger equation for the Coulomb-plus-linear potential. I. The wave functions
• Differential properties of Meijer's G-function
• The linear potential wavefunctions
• General formalism solving linear recursion relations

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