On the spectral decomposition of the transport operator with anisotropic scattering and periodic boundary conditions

V. Protopopescu

doi:10.1080/00411458508211672

On the spectral decomposition of the transport operator with anisotropic scattering and periodic boundary conditions

V. Protopopescu

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The time-dependent linear monoenergetic transport equation with linearly anisotropic scattering is considered in slab geometry with periodic boundary conditions. Adapting a result of Friedrichs, it is shown explicitly that the spectral theorem holds for the corresponding operator, for all but a set of zero measure in the space of parameters.

Original language	English
Pages (from-to)	103-115
Number of pages	13
Journal	Transport Theory and Statistical Physics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1080/00411458508211672
State	Published - Mar 1 1985
Externally published	Yes

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AB - The time-dependent linear monoenergetic transport equation with linearly anisotropic scattering is considered in slab geometry with periodic boundary conditions. Adapting a result of Friedrichs, it is shown explicitly that the spectral theorem holds for the corresponding operator, for all but a set of zero measure in the space of parameters.

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On the spectral decomposition of the transport operator with anisotropic scattering and periodic boundary conditions

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