Spectral Properties of the Linear Boltzmann Operator.

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0718865

Entities

People

  • H. J. Hejtmanek

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Boltzmann Equation
  • Cauchy Problem
  • Diffusion
  • Electrons
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Neutron Transport Theory
  • Perturbation Theory
  • Perturbations
  • Scattering
  • Spectra
  • Transport Ships

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Microelectronics
  • Space