ONE-DIMENSIONAL TWO-COMPONENT BOSE GAS AND THE ALGEBRAIC BETHE ANSATZ

被引：6

作者：

Slavnov, N. A. ^{[1
]}

机构：

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

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2015年 / 183卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

Bethe ansatz; monodromy matrix; Bethe vector; MANY-BODY PROBLEM; FORM-FACTORS; QUANTUM; MODELS;

D O I：

10.1007/s11232-015-0297-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a delta-function repulsive interaction. Using a lattice approximation of the L-operator, we find the Bethe vectors of the model in the continuum limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows studying an asymptotic expansion of the monodromy matrix over the spectral parameter.

引用

页码：800 / 821

页数：22

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