New method of allowing for the Coulomb interaction in the Logunov--Tavkhelidze quasipotential approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 419-428
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The problem of taking into account Coulomb interactions of ladder type in the investigation of bound states in quantum electrodynamics by the quasipotential method is considered. The basic quasipotential equation and the expression for the quasipotential are written down in terms of two-time positive-frequency Coulomb Green's functions. A corresponding perturbation theory is developed, which makes it possible to calculate the shifts of the energy levels of hydrogen-like atoms to accuracy $\alpha^6 \ln\alpha$.
@article{TMF_1982_53_3_a8,
author = {Yu. N. Tyukhtyaev},
title = {New method of allowing for the {Coulomb} interaction in the {Logunov--Tavkhelidze} quasipotential approach},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {419--428},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a8/}
}
TY - JOUR AU - Yu. N. Tyukhtyaev TI - New method of allowing for the Coulomb interaction in the Logunov--Tavkhelidze quasipotential approach JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 419 EP - 428 VL - 53 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a8/ LA - ru ID - TMF_1982_53_3_a8 ER -
%0 Journal Article %A Yu. N. Tyukhtyaev %T New method of allowing for the Coulomb interaction in the Logunov--Tavkhelidze quasipotential approach %J Teoretičeskaâ i matematičeskaâ fizika %D 1982 %P 419-428 %V 53 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a8/ %G ru %F TMF_1982_53_3_a8
Yu. N. Tyukhtyaev. New method of allowing for the Coulomb interaction in the Logunov--Tavkhelidze quasipotential approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 419-428. http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a8/