A method of separation of subspaces with definite values of the total spin, its z-projection
and quasimomentum, within the state space of the XXX model, ie the N-th tensor power of a …

We consider the factor υ of the characteristic polynomial w H (x) of the Heisenberg
Hamiltonian Ĥ of the XXX model, corresponding to the generic star [k=±1,±3] of …

Galois symmetry of exact Bethe Ansatz eigenstates for the magnetic pentagonal ring within
the XXX model are investigated by a comparison with crystallographic constructions of …

An arithmetic qubit, separated from the state space of the heptagonal magnetic ring within
the XXX model in the three-magnon sector at the center of the Brillouin zone, is shown to …

We demonstrate some applications of arithmetic structures in Bethe Ansatz—the famous
substitution which yields an exact solution of a quantum N-body problem for the linear …

In 1931 Hans Bethe introduced his famous ansatz concerning the diagonalization of the
Heisenberg Hamiltonian of a ring consisting of N nodes [1]. However, Bethe ansatz …

Bethe Ansatz solutions for the Heisenberg Hamiltonian of a one-dimensional magnetic ring
of N nodes, each with the spin 1/2, within the XXX model, have been presented as some …

Algebraic Bethe Ansatz, also known as quantum inverse scattering method, is a consistent
tool based on the Yang-Baxter equation which allows to construct Bethe Ansatz exact …

Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic
symmetry expressed in terms of a Galois group of a finite extension of the prime field Q of …