Separation of Variables in the open XXX chain
arXiv:0803.1776 · doi:10.1016/j.nuclphysb.2008.04.008
Abstract
We apply the Sklyanin method of separation of variables to the reflection algebra underlying the open spin-1/2 XXX chain with non-diagonal boundary fields. The spectral problem can be formulated in terms of a TQ-equation which leads to the known Bethe equations for boundary parameters satisfying a constraint. For generic boundary parameters we study the asymptotic behaviour of the solutions of the TQ-equation.
19 pages, references added; to appear in Nucl. Phys. B