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
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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.
@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},
publisher = {mathdoc},
volume = {146},
year = {1985},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a3/ %G ru %F ZNSL_1985_146_a3
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/