Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\alpha^6 \ln\alpha$. 
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     author = {Yu. N. Tyukhtyaev},
     title = {New method of allowing for the {Coulomb} interaction in the {Logunov{\textendash}Tavkhelidze} quasipotential approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {53},
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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/

[1] Faustov R. N., Svyazannaya sistema dvukh chastits v kvantovoi elektrodinamike, Preprint 8246, OIYaI, Dubna, 1974

[2] Karplus R., Klein A., Phys. Rev., 83:5 (1952), 848–858 | DOI

[3] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29:2 (1963), 380–399 | DOI | MR

[4] Faustov R. N., EChAYa, 3:1 (1972), 238–266

[5] Grotch H., Yennie D. R., Rev. Mod. Phys., 41:2 (1969), 350–374 | DOI

[6] Lepage G. P., Two-body bound states in quantum electrodynamics, Ph. dissertation, Stanford, 1978, 74 pp.

[7] Levchenko N. A., Nyunko N. E., Tyukhtyaev Yu. N., Faustov R. N., Analiz logarifmicheskogo vklada $\alpha^6\ln\alpha$ ot diagramm odnofotonnogo obmena v pozitronii, Soobscheniya OIYaI R2-12355, OIYaI, Dubna, 1979

[8] Faustov R. N., Kvazipotentsialnyi metod v zadache o svyazannom sostoyanii dvukh chastits, Preprint R-1572, OIYaI, Dubna, 1964 | MR

[9] Fulton T., Owen D. A., Repko W. W., Phys. Rev. A, 4:5 (1971), 1802–1811 | DOI

[10] Nyunko N. E., Tyukhtyaev Yu. N., TMF, 12:1 (1972), 56–63 | MR

[11] Tyukhtyaev Yu. N., TMF, 36:2 (1978), 264–270

[12] Bethe H. A., Salpeter E. E., Phys. Rev., 84:6 (1951), 1232–1242 | DOI | MR | Zbl

[13] Levchenko N. A., Tyukhtyaev Yu. N., Faustov R. N., YaF, 32:2 (12) (1980), 1656–1662

[14] Karimkhodzhaev A., Faustov R. N., TMF, 32:1 (1977), 44–53 | MR

[15] Nyunko N. E., Tyukhtyaev Yu. N., Faustov R. N., TMF, 44:3 (1980), 424–430