# TIME AND TEMPERATURE DEPENDENT CORRELATION FUNCTIONS OF 1D MODELS OF QUANTUM STATISTICAL MECHANICS

@article{Korepin1997TIMEAT, title={TIME AND TEMPERATURE DEPENDENT CORRELATION FUNCTIONS OF 1D MODELS OF QUANTUM STATISTICAL MECHANICS}, author={Vladimir E. Korepin and Nikita Andreevich Slavnov}, journal={Physics Letters A}, year={1997}, volume={236}, pages={201-205} }

## 12 Citations

### Effective free-fermionic form factors and the XY spin chain

- Physics
- 2020

We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the…

### Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

- Computer ScienceAdvances in Applied Mathematics and Mechanics
- 2019

Numerical results illustrate that the proposed scheme is of merits being easy-to-program, high accuracy, and rapid convergence even for long-term problems, and indicate that it has great potential in large scale problems and real-world applications.

### Exact methods in the analysis of the non-equilibrium dynamics of integrable models: application to the study of correlation functions for non-equilibrium 1D Bose gas

- Physics
- 2010

In this paper we study the non-equilibrium dynamics of one-dimensional Bose gas from the general perspective of the dynamics of integrable systems. After outlining and critically reviewing methods…

### Some Open Problems in Exactly Solvable Models

- Physics, Mathematics
- 2008

Some open problems in Exactly Solvable Models are presented.

### XXX Spin Chain: from Bethe Solution to Open Problems

- Physics
- 2007

We present some open problems in the field of exactly solvable models. Two of the problems are related to the correlation functions of the XXX spin chain and the XXZ spin chain, one to the entropy of…

### The short-distance first-order correlation function of the interacting one-dimensional Bose gas

- Physics
- 2003

We derive exact closed-form expressions for the first few terms of the short-distance Taylor expansion of the one-body correlation function of the Lieb–Liniger gas.

### Short-distance correlation properties of the Lieb-Liniger system and momentum distributions of trapped one-dimensional atomic gases.

- PhysicsPhysical review letters
- 2003

The high-p asymptotics of the momentum distribution of both free and harmonically trapped atoms are obtained and it is shown that it obeys a universal 1/p(4) law for all values of the interaction strength.

### A determinant representation for a correlation function of the scaling Lee - Yang model

- Mathematics
- 1998

We consider the scaling Lee - Yang model. It corresponds to the unique perturbation of the minimal CFT model . This model is not unitary. We are using an expression for form factors in terms of…

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