Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-25T03:30:38.511Z Has data issue: false hasContentIssue false
  • English
  • Français

On the geometry of the wave equation

Published online by Cambridge University Press:  24 October 2008

A. G. D. Watson
A. G. D. Watson
Affiliation:
Admiralty Signal EstablishmentHaslemere, Surrey
Get access Rights & Permissions [Opens in a new window]

Extract

An account is given of the transformation of coordinates and of absolute axial frames in Euclidean space and Galilean space-time. The connexion with Eddington's group of E-numbers is shown. The geometrical properties of Dirac's wave equation and of analogous equations in three dimensions are discussed in terms of absolute axial frames.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 4 , October 1947 , pp. 491 - 505
Copyright
Copyright © Cambridge Philosophical Society 1947

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

(1)Dirac, P. A. M.The Principles of Quantum Mechanics (Oxford, 1930).Google Scholar
(2)Eddington, A. S.Relativity Theory of Protons and Electrons (Cambridge, 1936).Google Scholar
(3)Klein, F.Vorlesungen über das Ikosaeder (Leipzig, 1884).Google Scholar
(4)Frenkel, Y. I.Wave Mechanics, Advanced General Theory (Oxford, 1934).Google Scholar
(5)Watson, A. G. D.Principal directions in a gravitational field Proc. Edinburgh Math. Soc. (2), 6 (1939–1941), 12.CrossRefGoogle Scholar
(6)Whittaker, E. T.Analytical Dynamics (Cambridge, 1917).Google Scholar