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Equilibrium and stability of collisionless systems in the paraxial limit

Published online by Cambridge University Press:  13 March 2009

William A. Newcomb
Affiliation:
Lawrence Livermore National Laboratory, University of California, Livermore, CA 94550, and Department of Applied Science, University of California, Davis, CA 95616
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The boundary term in the energy integral (105) is superfluous and should be dropped. If we use the Jacobian relation (86) to transform the dummy variables of integration from ψ, θ, to x, y (recalling that B = Bmax = const. at the ends), we see that this term reduces to the integral of a fixed function of x and y over a fixed region of the (x, y) plane. In other words, it reduces to a pure constant.

Type
Corrigendum
Copyright
Copyright © Cambridge University Press 1986