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XI.—Reciprocity. Part III: Reciprocal Wave Functions

Published online by Cambridge University Press:  15 September 2014

Max Born  and
Klaus Fuchs
Max Born
Affiliation:
University of Edinburgh
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Extract

The attempt to find reciprocal wave functions made in Part II led to some difficulties. We believe that these were due to an incorrect definition of the relativistic scalar product and Fourier coefficient. We shall show in this paper that a modification of these definitions leads to simpler equations, which allow us to determine the reciprocal wave functions and to find a transcendental equation for μ = aε/k, as was envisaged in Part I.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 60 , Issue 2 , 1940 , pp. 141 - 146
Copyright
Copyright © Royal Society of Edinburgh 1940

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References

References to Literature

Born, M., 1939. “Reciprocity and the Number 137. Part I,” Proc. Roy. Soc. Edin., vol. lix, p. 219.Google Scholar
Born, M., and Fuchs, K., 1940. “Reciprocity. Part II: Scalar Wave Functions,” Proc. Roy. Soc. Edin., vol. lx, p. 100.CrossRefGoogle Scholar
Jahnke, E., and Emde, F., 1933. Funktionentafeln, 2nd ed., Teubner.Google Scholar