Construction of Monodromy Matrix in the F- basis and Scalar products in Spin Chains

Details Construction of Monodromy Matrix in the F- basis and Scalar products in Spin Chains Construction of Monodromy Matrix in the F- basis and Scalar products in Spin Chains

2000-12-06

arxiv.org/abs/math-ph/0012007v1

Int.Journ.Mod.Phys.A, 16 (2001) 2175-2193.

Physics

Mathematical Physics

LaTex, 20 pages

Scientific paper

10.1142/S0217751X01003743

We present in a simple terms the theory of the factorizing operator introduced recently by Maillet and Sanches de Santos for the spin - 1/2 chains. We obtain the explicit expressions for the matrix elements of the factorizing operator in terms of the elements of the Monodromy matrix. We use this results to derive the expression for the general scalar product for the quantum spin chain. We comment on the previous determination of the scalar product of Bethe eigenstate with an arbitrary dual state. We also establish the direct correspondence between the calculations of scalar products in the F- basis and the usual basis.

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