Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain

authored by
Alexander Seel, Tobias Wirth
Abstract

We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with the known determinant formula of norms and scalar products.

Organisation(s)
Institute of Theoretical Physics
Type
Article
Journal
Journal of Physics A: Mathematical and Theoretical
Volume
42
ISSN
1751-8113
Publication date
18.02.2009
Publication status
Published
Peer reviewed
Yes
Electronic version(s)
http://arxiv.org/pdf/0808.2108 (Access: Open)
https://doi.org/10.1088/1751-8113/42/11/115202 (Access: Unknown)