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math-ph2014★ 11 cited
Galois actions on the eigenproblem of the Heisenberg heptagon
Jan Milewski, Grzegorz Banaszak, Tadeusz Lulek +2
We analyse the exact solution of the eigenproblem for the Heisenberg Hamiltonian of magnetic heptagon, i.e. the ring of N=7 nodes, each with spin 1/2, within the XXX model with nea…
math-ph2014★ 8 cited
Internal parity symmetry and degeneracy of Bethe Ansatz strings in the isotropic heptagonal magnetic ring
Jan Milewski, Barbara Lulek, Tadeusz Lulek +2
The exact Bethe eigenfunctions for the heptagonal ring within the isotropic XXX model exhibit a doubly degenerated energy level in the three-deviation sector at the centre of the B…