DERIVATION OF MAXWELL'S EQUATIONS. THE ATOMIC FIELD EQUATIONS,

Abstract

From the electromagnetic equations for fields, produced by point particles (electrons and nuclei) the field equations, taking into account the existence of stable atoms (or molecules, or ions) are derived in covariant form. These 'atomic field equations' involve, besides the field tensor (e,b) an atomic polarization tensor (p,m), or alternatively the field tensor (d, h) = (e + p, b - m). The atomic polarization tensor is given (up to second order in the internal atomic variables) as a function of atomic positions and velocities; proper electric dipole, quadrupole and magnetic dipole moments; and time derivatives of these quantities. (The 'proper atomic multipole moments' are defined in Lorentz frames in which the atoms are momentarily at rest). (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 09, 1964
Accession Number
AD0619607

Entities

People

  • J. Vlieger
  • S. R. De Groot

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Dipole Moments
  • Dipoles
  • Electrons
  • Equations
  • Magnetic Dipoles
  • Mathematics
  • Molecules
  • Partial Differential Equations
  • Particles
  • Polarization

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Thin Film Deposition Science.

Technology Areas

  • Microelectronics