Showing papers by "Rafael I. Nepomechie published in 2005"
TL;DR: In this paper, the transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity, and the Bethe ansatz solution is derived for transfer matrix eigenvalues.
Abstract: The transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe ansatz solution for the transfer matrix eigenvalues for the special cases where all but one of the boundary parameters are zero, and the bulk anisotropy parameter is iπ/3, iπ/5, ....
68 citations
TL;DR: In this paper, a generalization of the Baxter T-Q relation which involves more than one independent Q(u) was proposed, and it was shown that the eigenvalues of the transfer matrix of the open XXZ quantum spin chain are given by such generalized T -Q relations, for the case that at most two of the boundary parameters {α−, α+, β−, β−, β+, β+} are nonzero.
Abstract: We propose a generalization of the Baxter T–Q relation which involves more than one independent Q(u). We argue that the eigenvalues of the transfer matrix of the open XXZ quantum spin chain are given by such generalized T–Q relations, for the case that at most two of the boundary parameters {α−, α+, β−, β+} are nonzero, and the bulk anisotropy parameter has values η = iπ/2, iπ/4, ....
33 citations
TL;DR: In this article, a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field was derived.
32 citations
TL;DR: In this article, the authors extend the results of Murgan and Nepomechie (2005 J. Stat. P05007) to the cases where any two of the boundary parameters {α−,α+, β−,β+} are arbitrary, the remaining boundary parameters from this set are either η or iπ/2, and θ− = θ+.
Abstract: We extend the results of Murgan and Nepomechie (2005 J. Stat. Mech. P05007) to the cases where any two of the boundary parameters {α−,α+, β−,β+} are arbitrary, the remaining boundary parameters from this set are either η or iπ/2, and θ− = θ+.
8 citations
Posted Content•
13 Apr 2005
4 citations
Posted Content•
TL;DR: In this paper, the integrable open spin-1/2 XXZ quantum spin chain derived from functional relations obeyed by the transfer matrix at roots of unity is considered, and the authors briefly review Bethe Ansatz solutions.
Abstract: We briefly review Bethe Ansatz solutions of the integrable open spin-1/2 XXZ quantum spin chain derived from functional relations obeyed by the transfer matrix at roots of unity.
3 citations