Geodesic
Three-dimensional vortices in the Heisenberg model
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 3, pp. 471-480

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

We find an exact solution of the three-dimensional Heisenberg model (an $SO(3)$ model in field theory) using a differential substitution. We obtain new types of three-dimensional vortex structures in this model.
Keywords: Heisenberg model, $SO(3)$ model, differential substitution, three-dimensional vortex structures, intersecting vortex filaments, structure of the inclusion type, bicylindrical coordinate system.
Mots-clés : exact solutions 
@article{TMF_2021_208_3_a6,
     author = {A. B. Borisov},
     title = {Three-dimensional vortices in the {Heisenberg} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {471--480},
     publisher = {mathdoc},
     volume = {208},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_3_a6/}
}
TY  - JOUR
AU  - A. B. Borisov
TI  - Three-dimensional vortices in the Heisenberg model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2021
SP  - 471
EP  - 480
VL  - 208
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2021_208_3_a6/
LA  - ru
ID  - TMF_2021_208_3_a6
ER  - 
%0 Journal Article
%A A. B. Borisov
%T Three-dimensional vortices in the Heisenberg model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2021
%P 471-480
%V 208
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2021_208_3_a6/
%G ru
%F TMF_2021_208_3_a6
A. B. Borisov. Three-dimensional vortices in the Heisenberg model. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 3, pp. 471-480. http://geodesic.mathdoc.fr/item/TMF_2021_208_3_a6/