HAMILTONIAN FORMALISM ON CHARACTERISTIC SURFACES.

Abstract

The problem of the construction of a Hamiltonian formalism suitable for propagation of a field off characteristic or null surfaces is considered. In the Hamiltonian theory of a massless scalar field, primary constraints arise. Certain integral combinations of these constraints generate the 'news function' of the scalar field. Second-class combinations of constraints are eliminated by the construction of new variables differing from the original variables by the addition of constraints. Commutation relations are found for these variables. A Hamiltonian formalism for the electromagnetic field is developed on characteristic surfaces. A Hamiltonian for gravitation (general relativity) is constructed, first on null surfaces described only by the metric condition, g sup 00 = 0, and then on null surfaces coordinatized in a manner analagous to Bondi's approach. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0708136

Entities

People

  • Leroy Earl Eimers

Organizations

  • Syracuse University

Tags

DTIC Thesaurus Topics

  • Construction
  • Electromagnetic Fields
  • Electromagnetic Radiation
  • General Relativity
  • Integrals
  • Mathematics
  • Physical Theories

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.
  • Plasma Physics / Magnetohydrodynamics