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Quantum Inverse Scattering Method and Correlation Functions
One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral
Calculation of norms of Bethe wave functions
A class of two dimensional completely integrable models of statistical mechanics and quantum field theory is considered. Eigenfunctions of the Hamiltonians are known for these models. Norms of these
The One-Dimensional Hubbard Model
Preface 1. Introduction 2. The Hubbard Hamiltonian and its symmetries 3. The Bethe ansatz solution 4. String hypothesis 5. Thermodynamics in the Yang-Yang approach 6. Ground state properties in the
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.
Quantum Spin Chain, Toeplitz Determinants and the Fisher—Hartwig Conjecture
We consider the one-dimensional quantum spin chain, which is called the XX model (XX0 model or isotropic XY model) in a transverse magnetic field. We are mainly interested in the entropy of a block
Thermodynamic limit of the six-vertex model with domain wall boundary conditions
We address the question of the dependence of the bulk free energy on boundary conditions for the six-vertex model. Here we compare the bulk free energy for periodic and domain wall boundary
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.