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Line 5: Quantum inverse scattering method starts by quantization of Lax representation and reproduce results of Bethe ansatz. Actually it permits to rewrite Bethe ansatz in a new form: algebraic Bethe ansatz. This led to further progress in understanding of [[Heisenberg model (quantum)]], quantum [[Nonlinear Schrödinger equation ]] (also known as [[Lieb-Liniger Model]] or [[Bose gas]] with delta interaction) and [[Hubbard model]]. Theory of correlation functions was developed: determinant representations, description by differential equations and Riemann-Hilbert problem and asymptotic. Explicit expression for higher conservation laws. In mathematics it led to formulation of [[quantum groups]]. Especially interesting one is [[Yangian]]. Essential progress was achieved in study of [[6 vertex model]]: the bulk free energy depends on boundary conditions in [[thermodynamic limit]].

Quantum inverse scattering method: Difference between revisions