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On an Integral in the Distribution of Eigenvalues

Published online by Cambridge University Press:  20 January 2009

J. B. McLeod
J. B. McLeod
Affiliation:
Wadham College, Oxford
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In the case of a wave function with spherical symmetry, the wave equation can be separated using spherical polar coordinates, and the equation for the radial component becomes

where λ is a constant parameter, proportional to the energy of the particle under consideration, q(r) is proportional to the potential energy, and l is a positive integer or zero.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , Issue 4 , December 1961 , pp. 205 - 208
Copyright
Copyright © Edinburgh Mathematical Society 1961

References

REFERENCE

(1) Mcleod, J. B., The distribution of the eigenvalues for the hydrogen atom and similar cases, Proc. London Math. Soc., (3), 11 (1961), 139–158.CrossRefGoogle Scholar