Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 31-46
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A. N. Kirillov; N. Yu. Reshetikhin. A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 31-46. http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a3/
@article{ZNSL_1985_146_a3,
author = {A. N. Kirillov and N. Yu. Reshetikhin},
title = {A classification of string solutions of the {Bethe} equations for the $XXZ$ model of arbitrary spin},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {31--46},
year = {1985},
volume = {146},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a3/}
}
TY - JOUR
AU - A. N. Kirillov
AU - N. Yu. Reshetikhin
TI - A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 31
EP - 46
VL - 146
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a3/
LA - ru
ID - ZNSL_1985_146_a3
ER -
%0 Journal Article
%A A. N. Kirillov
%A N. Yu. Reshetikhin
%T A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 31-46
%V 146
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a3/
%G ru
%F ZNSL_1985_146_a3
The structure of string solutions for the $XXZ$ Heisenbers model of arbitrary spin is studied. Special spin values are found for which there are restrictions on the positions of centers of certain string solutions. For a class of spin values depending on the asnisothropy parameter such restrictions do not occur. A conjecture on the full classification of string states over the ferromagnetic vacuum is formulated. Bibl. – 14.
