TY - JOUR
T1 - Integrable spin- 1 2 particle systems with long-range interactions
AU - Hikami, Kazuhiro
AU - Wadati, Miki
N1 - Funding Information:
The authors would like to thank P.P. Kulish and T. Nagao for stimulating discussions. This work is partially supported by a Grant-in-Aid through the Ministry of Education, Science and Culture, Japan.
PY - 1993/2/8
Y1 - 1993/2/8
N2 - Spin- 1 2 particle systems with long-range interactions are considered in one-dimensional space. Conditions for the integrability of the systems are shown through the quantum inverse scattering method. Among the solutions, integrable spin particle systems, which we call the XXZ-type model and the Ising-type model, are newly found. A set of conserved operators is obtained from the Lax operator. Further, the ground state is shown to be the solution of a Knizhnik-Zamolodchikov-like equation.
AB - Spin- 1 2 particle systems with long-range interactions are considered in one-dimensional space. Conditions for the integrability of the systems are shown through the quantum inverse scattering method. Among the solutions, integrable spin particle systems, which we call the XXZ-type model and the Ising-type model, are newly found. A set of conserved operators is obtained from the Lax operator. Further, the ground state is shown to be the solution of a Knizhnik-Zamolodchikov-like equation.
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U2 - 10.1016/0375-9601(93)90275-5
DO - 10.1016/0375-9601(93)90275-5
M3 - Article
AN - SCOPUS:0001458296
SN - 0375-9601
VL - 173
SP - 263
EP - 266
JO - Physics Letters A
JF - Physics Letters A
IS - 3
ER -