A NEW APPROACH TO TRANSPORT THEORY

Abstract

A complete mathematical definition of an abstract linear transport process is given in terms of a new axiomatic system. After several preliminary theorems are proven, the basic algebraic equations relating the 'transport operators' are derived, and the semigroup properties of these equations are indicated. These algebraic equations are then used to derive the standard differential equations describing a transport process. The generalized invariant-imbedding equations are used to describe an energy-dependent, neutron- transport process.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0650428

Entities

People

  • Bernard Shiffman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Difference Equations
  • Differential Equations
  • Distribution Functions
  • Equations
  • Fission
  • Identities
  • Intervals
  • Linear Differential Equations
  • Mathematical Analysis
  • Neutron Flux
  • Particles
  • Theorems
  • Transmission Lines

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Solar Physics