Geodesic
Integration of the stationary problem for a~classical spin chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 154-159

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

A general solution of the stationary problem for anisotropic discrete Heisenberg lattice with classical spins and its natural generalization, the discrete version of the classical $n$-dimensional Neumann problem is found. Explicit formulas for solutions in terms of the $\theta$-functions and expressions for energies of these solutions are obtained. Integration is based on the interpretation of the solution in terms of the Bloch eigenfunction of the discrete Schrödinger operator. 
@article{TMF_1987_71_1_a14,
     author = {A. P. Veselov},
     title = {Integration of the stationary problem for a~classical spin chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {154--159},
     publisher = {mathdoc},
     volume = {71},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a14/}
}
TY  - JOUR
AU  - A. P. Veselov
TI  - Integration of the stationary problem for a~classical spin chain
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 154
EP  - 159
VL  - 71
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a14/
LA  - ru
ID  - TMF_1987_71_1_a14
ER  - 
%0 Journal Article
%A A. P. Veselov
%T Integration of the stationary problem for a~classical spin chain
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 154-159
%V 71
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a14/
%G ru
%F TMF_1987_71_1_a14
A. P. Veselov. Integration of the stationary problem for a~classical spin chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 1, pp. 154-159. http://geodesic.mathdoc.fr/item/TMF_1987_71_1_a14/