Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 175-196
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Monodromy matrices with vacuum and finite-dimensional single-particle subspace
are considered for the $R$ matrices of the $XXX$ and $XXZ$ models. A natural class
of monodromy matrices – irreducible monodromy matrices – is described; for
these matrices, the propositions proposed earlier as natural hypotheses are valid.
The existence of local Hamiltonians is proved for quantum integrable models on a lattice with irreducible local monodromy matrices.
@article{TMF_1985_63_2_a2,
author = {V. O. Tarasov},
title = {Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum {Hamiltonians}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {175--196},
publisher = {mathdoc},
volume = {63},
number = {2},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a2/}
}
TY - JOUR AU - V. O. Tarasov TI - Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 175 EP - 196 VL - 63 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a2/ LA - ru ID - TMF_1985_63_2_a2 ER -
%0 Journal Article %A V. O. Tarasov %T Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians %J Teoretičeskaâ i matematičeskaâ fizika %D 1985 %P 175-196 %V 63 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a2/ %G ru %F TMF_1985_63_2_a2
V. O. Tarasov. Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 175-196. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a2/