Geodesic
Dispersion relations for threshold reactions in an external electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 3, pp. 432-443 
V. G. Kadyshevskii; V. N. Rodionov. Dispersion relations for threshold reactions in an external electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 3, pp. 432-443. http://geodesic.mathdoc.fr/item/TMF_2000_125_3_a2/
@article{TMF_2000_125_3_a2,
     author = {V. G. Kadyshevskii and V. N. Rodionov},
     title = {Dispersion relations for threshold reactions in an external electromagnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {432--443},
     year = {2000},
     volume = {125},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_3_a2/}
}
TY  - JOUR
AU  - V. G. Kadyshevskii
AU  - V. N. Rodionov
TI  - Dispersion relations for threshold reactions in an external electromagnetic field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 432
EP  - 443
VL  - 125
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_125_3_a2/
LA  - ru
ID  - TMF_2000_125_3_a2
ER  - 
%0 Journal Article
%A V. G. Kadyshevskii
%A V. N. Rodionov
%T Dispersion relations for threshold reactions in an external electromagnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 432-443
%V 125
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2000_125_3_a2/
%G ru
%F TMF_2000_125_3_a2

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

Nonlinear threshold phenomena in quantum systems in a strong external electromagnetic field are investigated. A development of traditional quantum electrodynamics (QED) and a modified QED with a new universal parameter, fundamental mass, are used. Analysis of the threshold phenomena in an external magnetic field is based on the modified Dirac equation in an external field. The analysis shows that the fundamental mass determines a bound on the external field strength. Dispersion relations are proved for some threshold reactions in rather general external electromagnetic fields.

[1] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Nauka, M., 1989 | MR

[2] L. V. Keldysh, ZhETF, 34 (1958), 1138

[3] W. Franz, Z. Naturforsch. A, 13 (1958), 484 | Zbl

[4] A. A. Sokolov, I. M. Ternov, DAN SSSR, 153 (1963), 1053

[5] N. B. Delone, V. P. Krainov, UFN, 168 (1998), 531 | DOI

[6] V. N. Rodionov, ZhETF, 111 (1997), 3 | MR

[7] V. N. Rodionov, ZhETF, 113 (1998), 21

[8] V. N. Rodionov, Vestn. Mosk. un-ta. Fizika, astronomiya, 1999, no. 2, 5 | Zbl

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

[10] V. G. Kadyshevskii, “Kvantovaya teoriya polya i impulsnoe prostranstvo postoyannoi krivizny”, Problemy teoreticheskoi fiziki, eds. V. I. Ritus (otv. red.) i dr., Nauka, M., 1972, 52 | MR

[11] V. G. Kadyshevskii, EChAYa, 11 (1980), 5 | MR

[12] V. G. Kadyshevsky, M. D. Mateev, Phys. Lett. B, 106 (1981), 139 | DOI

[13] V. G. Kadyshevskii, EChAYa, 29 (1998), 563

[14] V. G. Kadyshevsky, M. D. Mateev, Nuovo Cimento A, 87:3 (1985), 324 | DOI

[15] A. I. Nikishov, V. I. Ritus, Tr. FIAN, 111, 1979, 84; 168, 1986, 232

[16] V. N. Baier, V. M. Katkov, V. M. Strakhovenko, YaF, 24 (1976), 379

[17] V. G. Kadyshevskii, V. N. Rodionov, “Elektromagnitnaya dlina i fundamentalnaya massa v elektrodinamike”, Tr. seminara “Simmetrii i integriruemye sistemy”, ed. A. N. Sisakyan, OIYaI, Dubna, 1999, 103

[18] N. B. Delone, V. P. Krainov, Atom v silnom svetovom pole, Atomizdat, M., 1978 | MR