Geodesic
Relativistic string in a constant homogeneous electromagnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 176-186 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Lagrangian and Hamiltonian formalisms are constructed for the massless relativistic string in constant homogeneous electromagnetic field in a special gauge dependent on the field. Solutions to the equations of motion and the mass spectrum of the string are found. It is shown that the presence of the electric field increases the gap between the equidistant levels of the squared mass operator, as compared with the free string case. The quantum description of the string in electromagnetic field is considered and the problem of the relativistic invariance of quantum theory is discussed. The method based on the checking of the Poincare algebra turns out to be inapplicable in the presence of the external field, because in this case the Lorentz rotation operators become time-dependent. 
@article{TMF_1977_32_2_a2,
     author = {B. M. Barbashov and A. L. Koshkarov and V. V. Nesterenko},
     title = {Relativistic string in a constant homogeneous electromagnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {176--186},
     year = {1977},
     volume = {32},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a2/}
}
TY  - JOUR
AU  - B. M. Barbashov
AU  - A. L. Koshkarov
AU  - V. V. Nesterenko
TI  - Relativistic string in a constant homogeneous electromagnetic field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 176
EP  - 186
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a2/
LA  - ru
ID  - TMF_1977_32_2_a2
ER  - 
%0 Journal Article
%A B. M. Barbashov
%A A. L. Koshkarov
%A V. V. Nesterenko
%T Relativistic string in a constant homogeneous electromagnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 176-186
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a2/
%G ru
%F TMF_1977_32_2_a2
B. M. Barbashov; A. L. Koshkarov; V. V. Nesterenko. Relativistic string in a constant homogeneous electromagnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 176-186. http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a2/

[1] C. Rebbi, Phys. Rep., 12C:1 (1974) ; J. Scherk, Rev. Mod. Phys., 47 (1975), 123 ; В. П. Шелест, Г. М. Зиновьев, В. А. Миранский, Модели сильновзаимодействующих элементарных частиц, т. 2, Атомиздат, 1976 | MR | DOI | MR

[2] J. L. Gervais, B. Sakita, Phys. Rev. Lett., 30 (1973), 716 ; S. Mandelstam, Phys. Rep., 13C:6 (1974) | DOI

[3] M. Ademollo et al., Nuovo Cim., 21 (1974), 77 | DOI | MR

[4] B. M. Barbashov, N. A. Chernikov, Preprint OIYaI R2-7852, Dubna, 1974

[5] B. M. Barbashov, V. V. Nesterenko, A. M. Chervjakov, Preprint JINR E2-10148, Dubna, 1976

[6] L. D. Faddeev, TMF, 1 (1969), 3 ; A. J. Hanson, T. Regge, Ann. Phys., 87 (1974), 498 ; A. J. Hanson, T. Regge, C. Teitelboim, Constrained Hamiltonian Systems, Princeton preprint, 1975 | MR | Zbl | DOI | MR | MR

[7] L. D. Landau, E. M. Lifshits, Teoriya polya, «Nauka», 1967 | MR | Zbl

[8] G. Goldstein, Klassicheskaya mekhanika, «Nauka», 1975 | MR | Zbl

[9] B. M. Barbashov, V. V. Nesterenko, Sb. dokladov IV Mezhdunarodnogo soveschaniya po nelokalnym teoriyam polya (Alushta, 1976 g.), OIYaI D2-9788, Dubna, 1976