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Time-Dependent, One-Speed Transport via Generalized Functions

Volume 137 · Number 3 · March 2001 · Pages 352-358
Technical Paper

Noel R. Corngold

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The classic problem of an isotropic burst from a plane source in the transport of monoenergetic particles in a medium of infinite extent is solved. The medium scatters isotropically. The novelty lies in remaining in (x,t) coordinates throughout, using generalized functions and the multiple-collision series. The solution reproduces that given by Kholin, obtained by other means, several decades ago.
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