Geodesic
The hyperbolic Heisenberg and sigma models in $1+1$ dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 310-320 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Hyperbolic versions of the integrable $(1+1)$-dimensional Heisenberg ferromagnet and sigma models are discussed in the context of topological solutions classifiable by an integer “winding number”. Some explicit solutions are presented, and the existence of certain classes of such winding solutions is examined. 
@article{TMF_2000_122_2_a13,
     author = {A. E. Winn},
     title = {The hyperbolic {Heisenberg} and sigma models in $1+1$ dimensions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {310--320},
     year = {2000},
     volume = {122},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a13/}
}
TY  - JOUR
AU  - A. E. Winn
TI  - The hyperbolic Heisenberg and sigma models in $1+1$ dimensions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 310
EP  - 320
VL  - 122
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a13/
LA  - ru
ID  - TMF_2000_122_2_a13
ER  - 
%0 Journal Article
%A A. E. Winn
%T The hyperbolic Heisenberg and sigma models in $1+1$ dimensions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 310-320
%V 122
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a13/
%G ru
%F TMF_2000_122_2_a13
A. E. Winn. The hyperbolic Heisenberg and sigma models in $1+1$ dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 310-320. http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a13/

[1] L. A. Takhtajan, Phys. Lett. A, 64:2 (1977), 235 | DOI | MR

[2] R. S. Ward, A. E. Winn, J. Phys. A, 31 (1998), L261 | DOI | MR | Zbl

[3] A. Kundu, Lett. Math. Phys., 6 (1982), 479 | DOI | MR | Zbl

[4] A. Kundu, J. Phys. A, 19 (1986), 1303 | DOI | MR | Zbl

[5] D. Lambert, B. Piette, Class. Q Grav., 5 (1988), 307 | DOI | MR

[6] J. P. Antoine, B. Piette, J. Math. Phys., 29:7 (1988), 1687 | DOI | MR | Zbl

[7] J. H. Lee, O. K. Pashaev, Abelian Gauge Theory and Integrable $\sigma$-Models, MIAS 97-3, MIAS, Massachusets, 1997

[8] L. A. Takhtadzhyan, L. D. Faddeev, Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | Zbl

[9] H. Eichenherr, J. Honerkamp, J. Math. Phys., 22:2 (1981), 374 | DOI | MR | Zbl

[10] H. J. de Vega, N. Sanchez, Phys. Rev. D, 47:8 (1993), 3394 | DOI | MR

[11] J. Tjon, J. Wright, Phys. Rev. B, 15:7 (1977), 3470 | DOI

[12] P. O. Mazur, J. Phys. A, 15 (1982), 3173 ; Acta Phys. Polon. B, 14 (1983), 219 ; Phys. Lett. A, 100 (1984), 314 | DOI | MR | Zbl | MR | DOI | MR

[13] P. F. Drazin, R. S. Johnson, Solitons: an Introduction, Cambridge University Press, Cambridge, 1989 | MR | Zbl