This question is a bit general and less specific. I've understood the algebraic Bethe Ansatz so far, but since we have a completeness problem Sklyanin suggested a different method, the so called functional Bethe Ansatz using a seperation of variables method. Can someone explain me the basic steps of this method and especially how does this method generally work and why?

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This post imported from StackExchange Physics at 2015-09-02 17:41 (UTC), posted by SE-user Mareck