Schrödinger’s original quantum–mechanical solution for hydrogen

DOI10.1088/1361-6404/abb9ffzbMath1523.81210arXiv2007.14798MaRDI QIDQ6163498

James K. Freericks, Unnamed Author, Unnamed Author

Publication date: 9 June 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14798

zbMATH Keywords

Schrödinger equationhydrogen atomLaplace methodSchrödinger's original solution of hydrogen

Mathematics Subject Classification ID

History of quantum theory (81-03) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Cites Work

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• The development of the Laplace transform, 1737-1937. II: Poincaré to Doetsch, 1880-1937
• Solution of the radial equation for hydrogen atom: series solution or Laplace transform?
• A universal Laplace-transform approach to solving Schrödinger equations for all known solvable models
• Complex variables in quantum mechanics

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