Periodic integrable systems with delta-potentials
type: Item
instance of: scholarly article
title: Periodic integrable systems with delta-potentials
zbMATH Open document ID: 1116.82020
author: E. Emsiz
author: Eric Opdam
author: Jasper V. Stokman
published in: Communications in Mathematical Physics
publication date: 2006-11-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0503034
review text: The authors investigate root system generalizations of the quantum Bose-gas on the circle with pair-wise delta-function interactions. A Dunkl-type commuting differential-reflection operators are defined that are associated with the system. Gutkin's generalization of the equivalence between the impenetrable Bose gas and the Fermi-gas are used for deriving the Bethe ansatz equations and the Bethe ansatz eigenfunctions.
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 81R12
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 5076616
zbMATH Keywords: root system
zbMATH Keywords: quantum Bose-gas
zbMATH Keywords: Dunkl-type differential-reflection operator
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
OpenAlex ID: W2073626416
arXiv ID: math/0503034
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DOI: 10.1007/S00220-006-1519-6
description: scientific article