Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-05-16T00:21:51.268Z Has data issue: false hasContentIssue false

On Mathisson's variational equation of relativistic dynamics

Published online by Cambridge University Press:  24 October 2008

S. Shanmugadhasan
Affiliation:
Downing CollegeCambridge

Extract

The paper considers the solution of the general variational equation of relativistic dynamics using the methods of Mathisson with a generalization at one stage. The solution gives us two equations describing the translational motion and rotational motion. The rotational equation is also investigated by setting up a variational equation using the conservation of angular momentum, and this is found to be of the same form as that obtained from Mathisson's variational equation.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1946

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)Bhabha, . Proc. Indian Acad. Sci. A, 10 (1939), 324.CrossRefGoogle Scholar
(2)Bhabha, and Corben, . Proc. Roy. Soc. A, 178 (1941), 273.Google Scholar
(3)Bhabha, . Proc. Roy. Soc. A, 178 (1941), 314.Google Scholar
(4)Mathisson, . Proc. Cambridge Phil. Soc. 36 (1940), 331.CrossRefGoogle Scholar
(5)Mathisson, . Proc. Cambridge Phil. Soc. 38 (1942), 40.CrossRefGoogle Scholar