RTT relation and long-range spin chain model

DOI10.1007/BF02880007zbMath0927.37045OpenAlexW1982370123MaRDI QIDQ1290118

Zhoufei Wang, Kang Xue, Mo-Lin Ge

Publication date: 10 June 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02880007

zbMATH Keywords

Yangian symmetryYang-Baxter systemquantum determinantintegrable chainRTT relation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

• Yang-Baxter equation in long-range interacting systems
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Exchange operator formalism for integrable systems of particles
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
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