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Differential Equations for Quantum Correlation Functions
The quantum nonlinear Schrodinger equation (one dimensional Bose gas) is considered. Classification of representations of Yangians with highest weight vector permits us to represent correlation
Quantum inverse scattering method
The review presents the quantum inverse scattering method and its application to the solution of two-dimensional nonlinear models of quantum field theory.
The quantum inverse scattering method approach to correlation functions
The inverse scattering method approach is developed for calculation of correlation functions in completely integrable quantum models with theR-matrix of XXX-type. These models include the
Determinant formula for the six-vertex model
The partition function of a six-vertex model with domain wall boundary conditions is considered on the finite lattice. The authors show that the partition function satisfies a recursive relation.
Equal-time temperature correlators of the one-dimensional heisenberg XY chain
For equal-time temperature correlators of the anisotropic Heisenberg XY chain, representations are obtained in the form of determinants of M×M matrices. These representations are simple deformations
The inverse scattering method approach to the quantum Shabat-Mikhailov model
The Shabat-Mikhailov model is treated in the framework of the quantum inverse scattering method. The Baxter'sR-matrix for the model is calculated.
Correlation functions in a one-dimensional Bose gas
The problem of calculating correlation functions is considered for the one-dimensional Bose gas with a delta-function repulsive interaction between particles. The method of calculation is based on