Separation of Variables in the open XXX chain

Details Separation of Variables in the open XXX chain Separation of Variables in the open XXX chain

2008-03-12

arxiv.org/abs/0803.1776v2

Nucl.Phys.B802:351-367,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, references added; to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2008.04.008

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.

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