Discrete Wave Mechanics: The Hydrogen Atom

The quantum mechanical problem of the hydrogen atom is treated by use of a finite difference equation in place of Schrodinger's differential equation. The exact solution leads to a wave vector energy expression that is readily converted to the Bohr-Rydberg formula. (The calculations here reported ar... Ausführliche Beschreibung

1. Person: Wall, Frederick T.
Quelle: in Proceedings of the National Academy of Sciences of the United States of America Vol. 83, No. 16 (1986), p. 5753-5755
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Format: Online-Artikel
Sprache: English
Veröffentlicht: 1986
Beschreibung: Online-Ressource
Schlagworte: research-article
Chemistry
Finite Difference Equation
Discrete Wave Vectors
Bohr-Rydberg Formula
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520 |a The quantum mechanical problem of the hydrogen atom is treated by use of a finite difference equation in place of Schrodinger's differential equation. The exact solution leads to a wave vector energy expression that is readily converted to the Bohr-Rydberg formula. (The calculations here reported are limited to spherically symmetric states.) The wave vectors reduce to the familiar solutions of Schrodinger's equation as c → ∞ . The internal consistency and limiting behavior provide support for the view that the equations employed could well constitute an approach to a relativistic formulation of wave mechanics. 
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653 |a Bohr-Rydberg Formula 
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