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On unbounded eigenvalues in particle-transport theory

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Abstract

The dispersion function derived from particle-transport theory is analyzed for the specific case of a three-term redistribution law in order to define thosec>1 cases for which there can be either one or two pairs of unbounded eigenvalues, and the elementary solutions corresponding to the unbounded eigenvalues are reported.

Zusammenfassung

Die Dispersions-Funktion, die von der Teilchen-Transport-Theorie erhalten wurde, wird analysiert für den besonderen Fall eines dreigliedrigen Neuverteilungsgesetzes, um die Fällec>1 zu definieren, für die entweder ein oder zwei Paare von unbegrenzten Eigenwerten existieren. Die zugehörigen elementaren Lösungen werden angegeben.

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Author notes

  1. C. E. Siewert

    Present address: Mathematics Department, North Carolina State University, 27650, Raleigh, NC, USA

Authors and Affiliations

  1. Dept. of Physics and Astronomy, The Free University, Amsterdam, The Netherlands

    C. V. M. van der Mee & C. E. Siewert

Authors
  1. C. V. M. van der Mee
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  2. C. E. Siewert
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van der Mee, C.V.M., Siewert, C.E. On unbounded eigenvalues in particle-transport theory. Z. angew. Math. Phys. 34, 556–561 (1983). https://doi.org/10.1007/BF00944716

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  • DOI: https://doi.org/10.1007/BF00944716

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