A consistent theory of neutral particle transport in an infinite medium

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21 Scopus citations

Abstract

The solution to the age-old infinite medium Green's function is revisited using the hindsight of the past coupled with the wisdom of the present. A new solution is found based on a blend of the theories developed by F. Vanmassenhove and C. Grosjean, E. Inonu, K. Case and J. Mika. The solution is obtained from well-known recurrence relations and is shown to reduce to the singular eigenfunction representation of Case. Closure is shown to be a consequence of the infinite medium Green's function.

Original languageEnglish (US)
Pages (from-to)43-68
Number of pages26
JournalTransport Theory and Statistical Physics
Volume29
Issue number1-2
DOIs
StatePublished - 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • General Physics and Astronomy
  • Applied Mathematics

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