
Accession Number : AD0718865
Title : Spectral Properties of the Linear Boltzmann Operator.
Descriptive Note : Final technical rept. Dec 69Mar 70,
Corporate Author : HEJTMANEK (H J) VIENNA (AUSTRIA)
Personal Author(s) : Hejtmanek,H. J.
Report Date : JUN 1970
Pagination or Media Count : 35
Abstract : The linear Boltzmann operator describing multiple scattering processes in electron and neutron transport theory is studied for a compact and convex system embedded into vacuum. The multiple timedependent scattering process is completely described by the linear Boltzmann equation which is considered as an abstract Cauchy problem in timedependent perturbation theory. The function space used is the Banach L sup 1. For two transport systems, multiple scattering in R sup 3 and diffusion in a compact reactor R = or < R sup 3, the spectrum and the resolvent set of the linear Boltzmann operator are given. The HilleYoshida condition for the existence of a unique solution, a semigroup of class (C sup o), is given. (Author)
Descriptors : (*POTENTIAL SCATTERING, ELECTRONS), (*NEUTRON TRANSPORT THEORY, THERMAL NEUTRONS), CAUCHY PROBLEM, BANACH SPACE, PERTURBATION THEORY, GROUPS(MATHEMATICS), NUMERICAL INTEGRATION, DIFFERENTIAL CROSS SECTIONS, THEOREMS, AUSTRIA
Subject Categories : Fission Reactor Physics
Nuclear Physics & Elementary Particle Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE