Algebraic solution for the hydrogenic radial Schrodinger equation: matrix elements for arbitrary powers of several r-dependent operators

DOI10.1088/0305-4470/24/2/011zbMath0751.34046OpenAlexW1978487587WikidataQ113824889 ScholiaQ113824889MaRDI QIDQ4713646

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Publication date: 25 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/2/011

zbMATH Keywords

closed-form expressionrecurrence formulaealgebraic solutionRecurrence formulaehypervirial theoremhydrogenic radial Schrödinger equationhydrogenic wavefunctions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (2)

The general calculation formulas and the recurrence relations of radial matrix elements for Hartmann potential ⋮ Some recurrence relations among the radial matrix elements for the relativistic hydrogenic atoms

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