Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-14T04:45:16.935Z Has data issue: false hasContentIssue false
  • English
  • Français

III.—Reciprocity. Part V: Reciprocal Spinor Functions*

Published online by Cambridge University Press:  14 February 2012

Klaus Fuchs
Klaus Fuchs
Affiliation:
Carnegie Research Fellow, University of Edinburgh
Get access Rights & Permissions [Opens in a new window]

Summary

With the help of a natural generalisation of the invariant scalar product for two spinor functions the invariant Fourier transformation of a spinor function can be defined, apart from a normalising factor. Assuming this factor as unity, the Fourier transformation of the solutions of Dirac's wave equation and its reciprocal are derived. The construction of reciprocal spinor functions leads to a transcendental equation for µ = ab/ħ which differs from that of the scalar case; but its roots are very similar to the latter.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 61 , Issue 1 , 1941 , pp. 26 - 36
Copyright
Copyright © Royal Society of Edinburgh 1941

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

References to Literature

Born, M., 1939. “Reciprocity. Part I,” Proc. Roy. Soc. Edin., vol. lix, p. 219.Google Scholar
Born, M., and Fuchs, K., 1940. “Reciprocity; Parts II, III,” Proc. Roy. Soc. Edin., vol. lx, pp. 100, 141.CrossRefGoogle Scholar
Cartan, M. E., 1938. Leçons sur la theorie des spineurs, vol. i, pp. 57, 58.Google Scholar
Fuchs, K., 1940. “Reciprocity. Part IV,” Proc. Roy. Soc. Edin., vol. lx, p. 147.CrossRefGoogle Scholar