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Derivation of Solutions of the Klein-Gordon Equation from Solutions of the Wave Equation

Published online by Cambridge University Press:  20 January 2009

LL. G. Chambers
LL. G. Chambers
Affiliation:
University College of North Wales, Bangor
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The Klein–Gordon equation

Ω being a constant of dimensions [time]-1 and c being a constant velocity, appears in nuclear physics (1) and, when the Laplacian operator is twodimensional, in the theory of long gravity waves on a rotating earth (2). If Ω is zero it reduces to the wave equation

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , Issue 2 , December 1966 , pp. 125 - 129
Copyright
Copyright © Edinburgh Mathematical Society 1966

References

REFERENCES

(1) Flũgge, S. (Editor), Handbuch der Physik, Vol. 1 (Springer, Berlin, 1956), 306.Google Scholar
(2) Proudman, J., Dynamical Oceanography (Methuen, London, 1953), 220.Google Scholar
(3) Magnus, W. and Oberhettinger, F., Formeln und Sãtze fũr die Speziellen Funktionen der Mathematischen Physik (Springer, Berlin, 1948), 168.Google Scholar
(4) Magnus, W. and Oberhettinger, F., loc. cit., 169.Google Scholar
(5) Magnus, W. and Oberhettinger, F., loc. cit., 177.Google Scholar