Abstract
We construct a representation of the Separated Variables
(SoV) for the quantum SL(2,
) Heisenberg closed spin
chain following the Sklyanin's approach and obtain the integral
representation for the eigenfunctions of the model. We calculate
explicitly the Sklyanin measure defining the scalar product in the SoV
representation and demonstrate that the language of Feynman diagrams
is extremely useful in establishing various properties of the
model. The kernel of the unitary transformation to the SoV
representation is described by the same ``pyramid diagram'' as
appeared before in the SoV representation for the SL(2,
) spin magnet. We argue that this kernel is given by
the product of the Baxter 
-operators projected onto a
special reference state.
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