Geodesic
Inverse scattering problem for systems with anticommuting variables and the massive thirring model
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 189-193 
A. G. Izergin; P. P. Kulish. Inverse scattering problem for systems with anticommuting variables and the massive thirring model. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 189-193. http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a3/
@article{TMF_1980_44_2_a3,
     author = {A. G. Izergin and P. P. Kulish},
     title = {Inverse scattering problem for systems with anticommuting variables and the massive thirring model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {189--193},
     year = {1980},
     volume = {44},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a3/}
}
TY  - JOUR
AU  - A. G. Izergin
AU  - P. P. Kulish
TI  - Inverse scattering problem for systems with anticommuting variables and the massive thirring model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 189
EP  - 193
VL  - 44
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a3/
LA  - ru
ID  - TMF_1980_44_2_a3
ER  - 
%0 Journal Article
%A A. G. Izergin
%A P. P. Kulish
%T Inverse scattering problem for systems with anticommuting variables and the massive thirring model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 189-193
%V 44
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a3/
%G ru
%F TMF_1980_44_2_a3

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

The pecularities arising when the inverse scattering problem method is applied to the solution of nonlinear equations including anticommuting functions are considered. The formulas are given for the massive Thirring model. The Poisson brackets of the corresponding scattering data are calculated.

[1] A. G. Izergin, P. P. Kulish, Lett. in Math. Phys., 2 (1978), 297 | DOI | MR

[2] M. Chaichian, P. P. Kulish, Phys. Lett., B78 (1978), 413 | DOI | MR

[3] A. V. Mikhailov, Pisma ZhETF, 28 (1978), 554

[4] L. D. Faddeev, Preprint LOMI R-2-1979, Leningrad, 1979

[5] E. K. Sklyanin, DAN SSSR, 244 (1979), 1337 | MR

[6] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR

[7] S. V. Manakov, ZhETF, 65 (1973), 505

[8] V. E. Zakharov, L. D. Faddeev, Funkts. analiz i ego prilozh., 5 (1971), 18 | Zbl