Bustamante, M., van Diejen, J. F. and de la Maza, A. C.. (2008) Norm formulae for the Bethe Ansatz on root systems of small rank. Journal of Physics A: Mathematical and Theoretical, Vol.41 (No.2). Article No. 025202. ISSN 1751-8113

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Abstract

The norms of the Bethe Ansatz eigenfunctions for the Lieb-Liniger quantum system of n Bosonic particles on a ring with pairwise repulsive delta potential interactions are given by a beautiful determinantal formula, first conjectured by Gaudin in the early seventies and then proven by Korepin about a decade later. Recently, E Emsiz formulated a similar conjecture generalizing the Gaudin-Korepin norm formula in terms of the root systems of complex simple Lie algebras. Here we confirm the validity of the conjecture in question for small root systems up to rank 3 ( thus including the important test case of the exceptional root system G(2)).

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Journal of Physics A: Mathematical and Theoretical
Publisher:	IOP Publishing Ltd
ISSN:	1751-8113
Date:	18 January 2008
Volume:	Vol.41
Number:	No.2
Number of Pages:	13
Page Range:	Article No. 025202
Identification Number:	10.1088/1751-8113/41/2/025202
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/30623

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