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A Hamiltonian formulation in the electrodynamics of charged moving fluids

Published online by Cambridge University Press:  13 March 2009

I. Merches
I. Merches
Affiliation:
Mathematical Institute, University of Oxford
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Abstract

By using the concept of combined field, we present a simple and symmetric Hamiltonian formulation for an infinitely conducting fluid, moving in an electromagnetic field. The definition of the combined field potentials makes it possible to replace the interaction between the electromagnetic field and charges by an interaction between two fields. Some applications are made, to prove the theory (e.g. the Hamiltonian of a point charge, Fourier representation).

Type
Research Article
Information
Journal of Plasma Physics , Volume 15 , Issue 1 , February 1976 , pp. 49 - 56
Copyright
Copyright © Cambridge University Press 1976

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References

REFERENCES

Calkin, M. G. 1963 Can. J. Phys. 41, 2241.CrossRefGoogle Scholar
Merches, I. 1969 Phys. Fluids, 12, 2225.CrossRefGoogle Scholar
Merches, I. 1971 Phys. Letters, 34 A, 132.CrossRefGoogle Scholar
Yourgrau, W., & Mandelstam, S. 1955 Variational Principles in Dynamics and Quantum Theory. Pitman.CrossRefGoogle Scholar