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Australian Journal of Physics Australian Journal of Physics Society
A journal for the publication of original research in all branches of physics
RESEARCH ARTICLE

The Vlasov?Maxwell Operators in Self-adjoint Form

DP Mason

Australian Journal of Physics 26(3) 301 - 314
Published: 1973

Abstract

A systematic method for obtaining the scalar product with respect to which a given Vlasov-Maxwell operator is self-adjoint is illustrated by considering the operator introduced by Shure (1964) to describe one-dimensional longitudinal oscillations in a bounded plasma. By separation of variables the problem is reduced to the solution of a singular integral equation for the weight function of the scalar product. The solution of this equation is not explicit but is in the form of a simple linear Fredholm integral equation of the second kind which is easily solved. The method should be applicable to similar operators in this field.

https://doi.org/10.1071/PH730301

© CSIRO 1973

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