ANGULAR INTEGRATION OF FEYNMAN DIAGRAMS IN THE FIELD-THEORETIC PERTURBATION THEORY OF ATOMS,

Abstract

The field-theoretic perturbation theory for the many-electron problem in atomic problems is developed further. The radial and angular parts are separated in the contribution from the quadruple vertex. The angular part is expressed through j-coefficients. With the resulting formula, the angular and radial parts of the Feynman diagrams for the first- and second-order energy shifts are separated directly from the quadruple vertex. General rules are formulated for the composition of Feynman diagrams with separated radial and angular parts. The momentum diagrams for the angular parts of the Feynman diagrams, which are diagrams for the j-coefficients, are completely similar to the Feynman diagrams themselves. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0632807

Entities

People

  • A. B. Bolotin
  • I. B. Levinson
  • V. V. Tolmachev

Organizations

  • American Meteorological Society

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Electrons
  • Momentum
  • Perturbation Theory
  • Perturbations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics
  • Microelectronics - Microelectromechanical Systems