The open XXX spin chain in the SoV framework: scalar product of separate states. (English) Zbl 1373.82020
The authors consider the XXX open spin-1/2 chain with the most general non-diagonal boundary terms, that they are solving by means of the quantum separation of variables approach. The scalar products of separate states are computed, a class of states which notably contains all the eigenstates of the model. It is shown that the scalar products of two generic separate states can be written as the determinant of a matrix which has a natural homogeneous limit.
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82B23 | Exactly solvable models; Bethe ansatz |
Keywords:
quantum integrable model; open boundary conditions; quantum separation of variables method; determinant representation of scalar productsReferences:
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