Geodesic
Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 325-332 
Yu. S. Biza; L. M. Tomil'chik. Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 325-332. http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a3/
@article{TMF_1975_24_3_a3,
     author = {Yu. S. Biza and L. M. Tomil'chik},
     title = {Nonuniversality of the $g/e$ ratio in the relativistic {Kepler} problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {325--332},
     year = {1975},
     volume = {24},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a3/}
}
TY  - JOUR
AU  - Yu. S. Biza
AU  - L. M. Tomil'chik
TI  - Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 325
EP  - 332
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a3/
LA  - ru
ID  - TMF_1975_24_3_a3
ER  - 
%0 Journal Article
%A Yu. S. Biza
%A L. M. Tomil'chik
%T Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 325-332
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a3/
%G ru
%F TMF_1975_24_3_a3

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

Effect of $g/e$-relation non-universality on the energy spectrum of a relativistic hydrogen-like system is investigated. The first order correction to the energy eigenvalues for 1/2 spin case (the Dirac equation) is calculated. It is showh that in this case the two-fold degeneracy which takes place in the ordinary relativistic Kepler problem removes itself, which can be interpreted as a peculiar Lamb shift imitation. Direct evaluation of the upper limit for possible magnetic proton and muon charges is made with the aid of the comparison between the results obtained and known experimental and theoretical data concerning Lamb shift numerical value in ordinary atoms and mumesonic atoms.

[1] J. Schwinger, Science, 165 (1969), 757 ; УФН, 103 (1971), 355 ; H. Harrison et al., Amer. J. Phys., 31 (1963), 249 | DOI | DOI | DOI

[2] V. I. Strazhev, L. M. Tomilchik, EChAYa, 4:1 (1973), 187

[3] Yu. S. Biza, L. M. Tomilchik, Izv. AN BSSR, ser. fiz.-mat., 1974, no. 5

[4] D. Zwanziger, Phys. Rev., 176 (1968), 1480 ; M. Berrondo, H. V. Mcintosh, J. Math. Phys., 11 (1970), 125 | DOI | DOI

[5] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963

[6] G. Bete, E. Solpiter, Kvantovaya mekhanika atomov s odnim i dvumya elektronami, Fizmatgiz, 1960

[7] B. E. Lautrup, A. Peterman, E. Rafael, Phys. Reports, 3c (1972), 196

[8] R. Engfer, G. Kh. Valter. Kh. Shnoifli, EChAYa, 5:2 (1974), 382