6533b86dfe1ef96bd12c9dc2
RESEARCH PRODUCT
Yang-Baxter equation and reflection equations in integrable models
P. P. Kulishsubject
PhysicsHigh Energy Physics::TheoryReflection formulaReflection (mathematics)Integrable systemScatteringYang–Baxter equationMathematics::Quantum AlgebraInverse scattering problemLine (geometry)QuantumMathematical physicsdescription
The definitions of the main notions related to the quantum inverse scattering methods are given. The Yang-Baxter equation and reflection equations are derived as consistency conditions for the factorizable scattering on the whole line and on the half-line using the Zamolodchikov-Faddeev algebra. Due to the vertex-IRF model correspondence the face model analogue of the ZF-algebra and the IRF reflection equation are written down as well as the $Z_2$-graded and colored algebra forms of the YBE and RE.
year | journal | country | edition | language |
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1996-01-01 |