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Quantum Inverse Scattering Method and Correlation Functions

- V. Korepin, A.G.Izergin, N.M.Bogoliubov
- Physics
- 25 January 1993

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… Expand

Calculation of norms of Bethe wave functions

- V. Korepin
- Mathematics
- 1 September 1982

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… Expand

The One-Dimensional Hubbard Model

- F. Essler, H. Frahm, F. Göhmann, A. Klümper, V. Korepin
- Mathematics, Physics
- 1 May 1994

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… Expand

Differential Equations for Quantum Correlation Functions

- A. Its, A. Izergin, V. Korepin, N. Slavnov
- Physics
- 1 April 1990

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… Expand

Quantum inverse scattering method

- A. Izergin, V. Korepin
- Physics
- 1 May 1982

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

- A. Izergin, V. Korepin
- Mathematics
- 1 March 1984

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… Expand

Determinant formula for the six-vertex model

- A. Izergin, D. A. Coker, V. Korepin
- Mathematics
- 21 August 1992

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.… Expand

Quantum Spin Chain, Toeplitz Determinants and the Fisher—Hartwig Conjecture

- B. Jin, V. Korepin
- Mathematics
- 1 August 2004

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… Expand

Thermodynamic limit of the six-vertex model with domain wall boundary conditions

- V. Korepin, P. Zinn-Justin
- Mathematics, Physics
- 14 April 2000

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… Expand

The inverse scattering method approach to the quantum Shabat-Mikhailov model

- A. Izergin, V. Korepin
- Physics
- 1 September 1981

The Shabat-Mikhailov model is treated in the framework of the quantum inverse scattering method. The Baxter'sR-matrix for the model is calculated.

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