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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 [[Bose gas]] with delta interaction) and [[Hubbard model]]. Theory of correlation functions was developed. In mathematics
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