Discrete wave mechanics: The hydrogen atom.

Abstract:

:The quantum mechanical problem of the hydrogen atom is treated by use of a finite difference equation in place of Schrödinger'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 Schrödinger's equation as c --> infinity. 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.

authors

Wall FT

doi

10.1073/pnas.83.16.5753

subject

Has Abstract

pub_date

1986-08-01 00:00:00

pages

5753-5

issue

16

eissn

0027-8424

issn

1091-6490

journal_volume

83

pub_type

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