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Annalen der Physik

A Riemann‐Hilbert Approach to the Inverse Problem for Three Dimensional Heisenberg Spin‐Chain

Asesh Roy Chowdhury, Pritha Mitra

Published Jan 1, 1990• 0 citations
Publisher

Abstract

Abstract Three dimensional Heisenberg Spin Chain along with the Tjon‐Wright ansatz admit a Lax pair with pole in the eigenvalue plane. We have developed the corresponding inverse problem through the technique of Riemann‐Hilbert approach. The analytic structure is determined through the reduction technique, associated with the Lax pair.

DOI
10.1002/andp.19905020227

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Abstract Three dimensional Heisenberg Spin Chain along with the Tjon‐Wright ansatz admit a Lax pair with pole in the eigenvalue plane. We have developed the corresponding inverse problem through the technique of Riemann‐Hilbert approach. The analytic structure is determined through the reduction technique, associated with the Lax pair.