On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrodinger equation: Interacting fermion case

被引：12

作者：

Its, AR ^{[1
]}

Slavnov, NA

机构：

[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

[2] RAS, Steklov Math Inst, Moscow 117901, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1999年 / 119卷 / 02期

基金：

俄罗斯基础研究基金会; 美国国家科学基金会;

关键词：

D O I：

10.1007/BF02557351

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the local field dynamic temperature correlation function of the quantum nonlinear Schrodinger equation with a finite coupling constant. This correlation function admits a Fredholm determinant representation. The related operator-valued Riemann-Hilbert problem is used to analyze the leading term of the large time and distance asymptotic expansion of the correlation function.

引用

页码：541 / 593

页数：53

共 50 条

[1] On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear schrödinger equation: Interacting fermion case
A. R. Its
N. A. Slavnov
Theoretical and Mathematical Physics, 1999, 119 : 541 - 593
[2] The Riemann-Hilbert problem associated with the quantum nonlinear Schrodinger equation
Korepin, VE
Slavnov, NA
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (23): : 8241 - 8255
[3] Riemann-Hilbert approach and nonlinear dynamics in the nonlocal defocusing nonlinear Schrodinger equation
Wu, Jianping
EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (06):
[4] A Riemann-Hilbert Approach to a Generalized Nonlinear Schrodinger Equation on the Quarter Plane
Wang, Xiu-Bin
Han, Bo
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2020, 23 (02)
[5] Riemann-Hilbert approach to the modified nonlinear Schrodinger equation with non-vanishing asymptotic boundary conditions
Yang, Yiling
Fan, Engui
PHYSICA D-NONLINEAR PHENOMENA, 2021, 417
[6] RIEMANN-HILBERT PROBLEM OF THE QUANTUM NONLINEAR SCHRODINGER MODEL
CHEN, YZ
COMMUNICATIONS IN THEORETICAL PHYSICS, 1987, 7 (02) : 137 - 147
[7] Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach
Tovbis, Alexander
Venakides, Stephanos
Zhou, Xin
INTEGRABLE SYSTEMS AND RANDOM MATRICES: IN HONOR OF PERCY DEIFT, 2008, 458 : 117 - 144
[8] Solitons and rogue waves of the quartic nonlinear Schrodinger equation by Riemann-Hilbert approach
Liu, Nan
Guo, Boling
NONLINEAR DYNAMICS, 2020, 100 (01) : 629 - 646
[9] On the Riemann-Hilbert problem of a generalized derivative nonlinear Schrodinger equation
Hu, Bei-Bei
Zhang, Ling
Xia, Tie-Cheng
COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 73 (01)
[10] Riemann-Hilbert approach for the inhomogeneous discrete nonlinear Schrodinger equation with nonzero boundary conditions
Liu, Ya-Hui
Guo, Rui
Zhang, Jian-Wen
WAVE MOTION, 2024, 128

← 1 2 3 4 5 →