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The solution of the Schrödinger equation for finite systems, with special reference to the motion of electrons in Coulomb electric fields and uniform magnetic fields

Published online by Cambridge University Press:  24 October 2008

R. B. Dingle
R. B. Dingle
Affiliation:
Royal Society Mond LaboratoryCambridge*
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Abstract

A number of methods are formulated for solving the Schrödinger equation for systems of finite extent. The methods are developed in detail for the particular case of an electron moving in a Coulomb field (e.g. hydrogen-like atom), with a boundary consisting of a sphere of given radius. In the second part of the paper these results are transformed into those for an electron moving in a uniform magnetic field, the boundary of the system being cylindrical.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 103 - 114
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

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