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On the spectral decompositions of the linear transport operator with periodic boundary conditions

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Abstract

It is shown that the linear transport operator for a slab with periodic boundary conditions, or for infinite medium, can be analyzed within the Friedrichs' model of perturbation for non-selfadjoint operators. This leads to rephrasing Case's generalized eigenfunction expansion in terms of Hilbert space operators only.

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Authors and Affiliations

  1. Institute for Atomic Physics, P.O. Box 5206, Bucharest, Romania

    N. Angelescu, N. Marinescu & V. Protopopescu

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  1. N. Angelescu
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  2. N. Marinescu
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  3. V. Protopopescu
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Angelescu, N., Marinescu, N. & Protopopescu, V. On the spectral decompositions of the linear transport operator with periodic boundary conditions. Lett Math Phys 1, 329–333 (1976). https://doi.org/10.1007/BF00398489

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  • DOI: https://doi.org/10.1007/BF00398489

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