Behavior of Scalar and Spin1/2 Particles in the Field of Two Intense Electromagnetic Waves.

Abstract

EQUATIONA method for the approximate solution of the Klein-Gordon and Dirac equations for charged particles in the presence of two electromagnetic, noncollinear, transverse plane waves has been developed. The solution to the Klein-Gordon equation is a product of functions which are either solutions to linear, ordinary differential equations of the Hill type or solutions to a Volkov equation. It is shown that solutions to the Dirac equation can be constructed from sums of functions similar to those mentioned above. The mass-energy relation in this approximation has a complicated dependence on the field strengths and particle momentum. In particular, it was found that a slowly moving particle in an intense standing electromagnetic wave has a mass shift of order (V squared)/(C squared) times that given by second order perturbation theory. Here V is the component of particle velocity perpendicular to the direction of propagation of the waves. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1972
Accession Number
AD0754307

Entities

People

  • Harry L. Berkowitz

Organizations

  • United States Army Communications-Electronics Command

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Charged Particles
  • Differential Equations
  • Dirac Equation
  • Equations
  • Mass Energy Relation
  • Particles
  • Perturbation Theory
  • Perturbations
  • Plane Waves
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics