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

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 r...

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Bibliographic Details
Main Authors: Bolotin,A. B, Levinson,I. B, Tolmachev,V. V
Format: Report
Language:English
Subjects:
ATOMS
FEYNMAN DIAGRAMS
FIELD THEORY
GRAPHICS
MOLECULES
MOMENTUM
NUMERICAL INTEGRATION
PERTURBATION THEORY
Physical Chemistry
Quantum Theory and Relativity
USSR
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Summary: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) Integrirovanie Feinmanovskikh Diagramm po Uglovym Peremennym v Polevoi Forme Teoriya Vozmushcheniya dlya Atomov, trans. of Lietuvos Fizikos Rinkinys (Lithuanian SSR) v4 n1 p25-33 1964.