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Time-Dependent, One-Speed Transport via Generalized Functions

Noel R. Corngold

Nuclear Science and Engineering / Volume 137 / Number 3 / Pages 352-358

March 2001

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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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