Geodesic
Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 1, pp. 46-54 
A. Ya. Silenko. Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 1, pp. 46-54. http://geodesic.mathdoc.fr/item/TMF_1995_105_1_a3/
@article{TMF_1995_105_1_a3,
     author = {A. Ya. Silenko},
     title = {Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {46--54},
     year = {1995},
     volume = {105},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_1_a3/}
}
TY  - JOUR
AU  - A. Ya. Silenko
TI  - Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1995
SP  - 46
EP  - 54
VL  - 105
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1995_105_1_a3/
LA  - ru
ID  - TMF_1995_105_1_a3
ER  - 
%0 Journal Article
%A A. Ya. Silenko
%T Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 46-54
%V 105
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1995_105_1_a3/
%G ru
%F TMF_1995_105_1_a3

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

The Dirac equation in Foldy–Wouthuysen representation, describing the interaction between spin-1/2 relativistic particles and an external electromagnetic field has been obtained. It is valid for a weak field approximation. Derivatives of all orders with respect to the field potentials are taken into account in this equation, in distinction of the previous investigations. The quantum mechanical equation of spin motion in Foldy–Wouthuysen representation, agreeing with the classical Bargmann–Michel–Telegdi equation, has been found.

[1] Ternov I. M., Khalilov V. R., Rodionov V. N., Vzaimodeistvie zaryazhennykh chastits s silnym elektromagnitnym polem, MGU, M., 1982

[2] Groot S. R. de, Sattorp L. G., Elektrodinamika, Nauka, M., 1982

[3] Foldy L. L., Wouthuysen S. A., Phys. Rev., 78:1 (1950), 29–36 | DOI | Zbl

[4] Stephani H., Ann. Phys., 15:1 (1965), 12–16 | DOI | Zbl

[5] Blount E. I., Phys. Rev., 128:5 (1962), 2454–2458 | DOI | MR | Zbl

[6] Foldy L. L., Phys. Rev., 87:5 (1952), 688–693 | DOI | MR | Zbl

[7] Berestetskii V. B., Lifshits E. M., Pitaevskii L. P., Kvantovaya elektrodinamika, Nauka, M., 1989 | MR

[8] Cherkas S. L., Izv. AN Belarusi. Ser. fiz. -mat. nauk, 1994, no. 2, 70–75

[9] Bargmann V., Michel L., Telegdi V. I., Phys. Rev. Lett., 2:10 (1959), 435–437 | DOI

[10] Baryshevskii V. G., Pisma v ZhTF, 5 (1979), 182–185 | MR