### 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 language | English (US) |
---|---|

Pages (from-to) | 43-68 |

Number of pages | 26 |

Journal | Transport Theory and Statistical Physics |

Volume | 29 |

Issue number | 1-2 |

State | Published - 2000 |

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### ASJC Scopus subject areas

- Applied Mathematics
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

**A consistent theory of neutral particle transport in an infinite medium.** / Ganapol, Barry D.

Research output: Contribution to journal › Article

*Transport Theory and Statistical Physics*, vol. 29, no. 1-2, pp. 43-68.

}

TY - JOUR

T1 - A consistent theory of neutral particle transport in an infinite medium

AU - Ganapol, Barry D

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034343730&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034343730&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034343730

VL - 29

SP - 43

EP - 68

JO - Journal of Computational and Theoretical Transport

JF - Journal of Computational and Theoretical Transport

SN - 2332-4309

IS - 1-2

ER -