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Resonant parts of nonlinear response tensors

Published online by Cambridge University Press:  13 March 2009

D. B. Melrose  and
J. Kuijpers
D. B. Melrose
Affiliation:
School of Physics, University of Sydney, Sydney, NSW 2006, Australia
J. Kuijpers
Affiliation:
Sterrekundig Instituut, Rijksuniversiteit Utrecht, Sterrewacht ‘Sonnenborgh’, Zonnenburg 2, 3512 NL Utrecht, The Netherlands
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Abstract

It is pointed out that ambiguities arise in taking the resonant parts of nonlinear response tensors. A prescription is proposed and used to evaluate the resonant parts explicitly in terms of a covariant and gauge invariant formalism. Symmetry properties of the resonant parts are identified. The prescription used can be justified by analogy with a calculation based on QED where no ambiguity arises; it is also justified directly by classical arguments. In some standard treatments of nonlinear damping processes a necessary symmetry is not imposed. When this symmetry is imposed, the relations derived here imply that turbulent bremsstrahlung, as defined by Tsytovich et al., does not exist.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 2 , October 1984 , pp. 239 - 253
Copyright
Copyright © Cambridge University Press 1984

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References

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