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- W2010687984 abstract "The Liouville equation for a relativistic charged particle interacting with its radiation field in the presence of an external electromagnetic field is derived. This equation is solved formally by an iteration procedure and the integration over the field variables is carried on. One then obtains the evolution equation for the distribution function ρ(t) of the particle alone; it involves perturbed propagators which are solutions of anon, linear integral equation and which properties are briefly discussed. An exact solution of the equation for ρ(t) is then given; it is the distribution function for a particle whose motion is governed by the equations of classical electrodynamics i.e. a particle acted upon by the Lorentz force due to the external field and the self retarded field. The point character of the charge of course introduces divergent contributions to the Liouville equation. Within the Born approximation, we show how the regularization procedure used previously by I. Prigogine and the author for the equations of motion can be introduced in the Liouville formalism." @default.
- W2010687984 created "2016-06-24" @default.
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- W2010687984 date "1963-12-01" @default.
- W2010687984 modified "2023-09-24" @default.
- W2010687984 title "Liouville equation for a relativistic charged particle" @default.
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- W2010687984 doi "https://doi.org/10.1016/s0031-8914(63)80235-9" @default.
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