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VOLUME 55 (1992) | ISSUE 4 | PAGE 256
Symmetry group of the kinetic equations for a collisionless plasma
A continuous Lie point group is found to be allowed by the system of integrodifferential Vlasov equations in the theory of an electron-ion plasma with a self-consistent electromagnetic field. Under the conditions that the charges and masses of the plasma particles as well as the velocity of light in vacuum are invariant, this group is a finite 12-parameter group. It contains as a subgroup the Poincare 10-parameter group. When the renormalization of the constants of the theory is taken into account, this group becomes infinite, with an arbitrariness in 16 functions of five variables.