Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L1(R3× R3)
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 8 (1) , 29-44
- https://doi.org/10.1080/00411457908204333
Abstract
In the time dependent linear transport theory two kinds of problems have been studied in the Hilbert space L2(R3 × R3): The reactor problem (with a boundary condition) and the multiple scattering problem (without a boundary condition). The aim of this paper is to give a complete description of the dynamics and the spectrum of the multiple scattering operator in the Banach lattice L1(R3 × R3), because this space is more relevant to the physics of the problem. For a wide class of such operators the spectrum is a subset of the imaginary axis.Keywords
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