Geodesic
Derivation of a~quasipotential equation by the Fock--Podolsky method
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 3-26

Voir la notice de l'article provenant de la source Math-Net.Ru

The Fock–Podolsky (Tamm–Dancoff) method is used to derive a quasipotential equation for the one-time wave ftmction from the equations of quantum electrodynamics. The connection between this equation and the inhomogeneous equation for the four-point Green's function is established. It is shown that although there is no manifest covariance of the expressions for the Green's function in the Coulomb gauge, one can perform a consistent renormalization of the divergent integrals in at least the second order in the charge $e$. It is noted that in this approach one can derive (in a certain approximation) the Breit equation for the fine structure of energy levels. 
@article{TMF_1976_28_1_a0,
     author = {D. I. Blokhintsev and V. A. Rizov and I. T. Todorov},
     title = {Derivation of a~quasipotential equation by the {Fock--Podolsky} method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--26},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a0/}
}
TY  - JOUR
AU  - D. I. Blokhintsev
AU  - V. A. Rizov
AU  - I. T. Todorov
TI  - Derivation of a~quasipotential equation by the Fock--Podolsky method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 3
EP  - 26
VL  - 28
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a0/
LA  - ru
ID  - TMF_1976_28_1_a0
ER  - 
%0 Journal Article
%A D. I. Blokhintsev
%A V. A. Rizov
%A I. T. Todorov
%T Derivation of a~quasipotential equation by the Fock--Podolsky method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 3-26
%V 28
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a0/
%G ru
%F TMF_1976_28_1_a0
D. I. Blokhintsev; V. A. Rizov; I. T. Todorov. Derivation of a~quasipotential equation by the Fock--Podolsky method. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 3-26. http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a0/