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On Mathisson's variational equation of relativistic dynamics

Published online by Cambridge University Press:  24 October 2008

S. Shanmugadhasan
S. Shanmugadhasan
Affiliation:
Downing CollegeCambridge
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 42 , Issue 1 , February 1946 , pp. 54 - 61
Copyright
Copyright © Cambridge Philosophical Society 1946

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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