Bethe equations for a g(2) model

N Crampe; C A S Young

doi:10.1088/0305-4470/39/7/L01

Bethe equations for a g(2) model

N Crampe, C A S Young

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose point-like interactions are determined by the root system Of g(2). The statistics of the wavefunction are left unspecified. Using the properties of the Weyl group, we are also able to find Bethe equations. It is notable that the method relies on a certain generalized version of the well-known Yang-Baxter equation. A particular class of non-trivial solutions to this equation emerges naturally.

Original language	English
Pages (from-to)	L135-L143
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	39
Issue number	7
DOIs	https://doi.org/10.1088/0305-4470/39/7/L01
Publication status	Published - 17 Feb 2006

Keywords

ONE DIMENSION
BOSE-GAS
SYSTEMS

Access to Document

10.1088/0305-4470/39/7/L01

Cite this

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AB - We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose point-like interactions are determined by the root system Of g(2). The statistics of the wavefunction are left unspecified. Using the properties of the Weyl group, we are also able to find Bethe equations. It is notable that the method relies on a certain generalized version of the well-known Yang-Baxter equation. A particular class of non-trivial solutions to this equation emerges naturally.

KW - ONE DIMENSION

KW - BOSE-GAS

KW - SYSTEMS

U2 - 10.1088/0305-4470/39/7/L01

DO - 10.1088/0305-4470/39/7/L01

M3 - Article

SN - 0305-4470

VL - 39

SP - L135-L143

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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