The general calculation formulas and the recurrence relations of radial matrix elements for Hartmann potential

DOI10.1016/j.physleta.2003.08.013zbMath1056.81037OpenAlexW2034590907MaRDI QIDQ1409136

Cheng-Lin Liu, Chang-Yuan Chen, Dong-Sheng Sun

Publication date: 5 October 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.08.013

zbMATH Keywords

bound states

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operator algebra methods applied to problems in quantum theory (81R15)

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Cites Work

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• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• Supersymmetry and Shape Invariance of Hartmann Potential and Ring-Shaped Oscillator Potential in the r and θ Dimensions of Spherical Polar Coordinates
• Algebraic solution for the hydrogenic radial Schrodinger equation: matrix elements for arbitrary powers of several r-dependent operators
• Dynamical invariance algebra of the Hartmann potential
• ASAB: a Chinese screen reader

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