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Differential Equations for Quantum Correlation Functions

- A. Its, A. Izergin, V. Korepin, N. Slavnov
- Mathematics, 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

Partition function of the six-vertex model in a finite volume

- A. Izergin
- Physics, Mathematics
- 1 November 1987

Quantum inverse scattering method

- A. Izergin, V. Korepin
- Physics, Mathematics
- 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
- Physics
- 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

Correlation functions for a strongly correlated boson system

- N. Bogoliubov, A. Izergin, N. Kitanine
- Physics
- 6 October 1997

Equal-time temperature correlators of the one-dimensional heisenberg XY chain

- A. Izergin, V. S. Kapitonov, N. A. Kitanin
- Mathematics
- 30 October 1997

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… 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.

Correlation functions in a one-dimensional Bose gas

- A. Izergin, V. Korepin, N. Reshetikhin
- Physics
- 1 October 1987

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… Expand

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