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Generalized Hamiltonian Dynamics

Published online by Cambridge University Press:  20 November 2018

P. A. M. Dirac
P. A. M. Dirac*
Affiliation:
St. John's College, Cambridge
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1. Introduction. The equations of dynamics were put into a general form by Lagrange, who expressed them in terms of a set of generalized coordinates and velocities. An alternative general form was later given by Hamilton, in terms of coordinates and momenta. Let us consider the relative merits of the two forms.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 2 , 1950 , pp. 129 - 148
Copyright
Copyright © Canadian Mathematical Society 1950

References

[1] Dirac, P. A. M., Homogeneous variables in classical dynamics, Proc. Camb. Phil. Soc, vol. 29 (1933), 389.Google Scholar
[2] Dirac, P. A. M., Forms of relativistic dynamics,Rev. Mod. Phys., vol. 21 (1949), 392.Google Scholar