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Closed form solution of the diffusion transport equation in multiple scattering
Authors:V TulovskyL Papiez
Institution:

Division of Math., Computer and Natural Sciences, St. John's University 300 Howard Avenue, Staten Island, NY 10306, U.S.A.

Department of Radiation Oncology, Indiana University Medical School 535 Barnhill Drive, Indianapolis, IN 46202, U.S.A.

Abstract:The solution of the Yang transport equation of the multiple scattering theory of charged particles is discussed. The method of Lie groups is utilized for the purpose of the construction of the solution of this equation. The fundamental solution of the Yang equation is provided as the closed form expression valid in the neighborhood of the center of coordinates.
Keywords:Transport theory  Diffusion  Yang equation  Lie groups
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