On determinant representations of scalar products and form factors in the SoV approach: the XXX case

Understand

In the present article we study the form factors of quantum integrable lattice models solvable by the separation of variables (SoV) method.

• It was recently shown that these models admit universal determinant representations for the scalar products of the so-called separate states (a class which includes in particular all the eigenstates of the transfer matrix).
• These results permit to obtain simple expressions for the matrix elements of local operators (form factors).
• However, these representations have been obtained up to now only for the completely inhomogeneous versions of the lattice models considered.