Accession Number : AD0718865

Title :   Spectral Properties of the Linear Boltzmann Operator.

Descriptive Note : Final technical rept. Dec 69-Mar 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 time-dependent scattering process is completely described by the linear Boltzmann equation which is considered as an abstract Cauchy problem in time-dependent 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 Hille-Yoshida 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