13 citations · 60 across the 35 of their papers we have counts for
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R-matrix for the XX spin chain in a staggered magnetic field
P. N. Bibikov
We suggest the elliptic R-matrix for the XX spin chain in a staggered magnetic field. This integrable model is a special case of the more general one, studied long ago…
R-matrix for the XX spin chain at the special imaginary value of staggered magnetic field
P. N. Bibikov
It is pointed, that the Hamiltonian density matrix, corresponding to XX spin chain in a staggered magnetic field, satisfies the Reshetikhin condition as well, as the t…
Bethe Ansatz approach to the three-magnon problem in an infinite spin chain with Izing next neighboring ferromagnetic interaction
P. N. Bibikov
Using the traditional and degenerative discrete-diffractive versions of Bethe Ansatz we construct a rude set of three-magnon states in the infinite spin chain with Izing next…
Incoherent bound states in an infinite chain at
P. N. Bibikov
For an infinite chain with we have obtained a family of translationary invariant three-magnon states which do not satisfy the string conjecture. All of them have the…
Defining relations on the Hamiltonians of and -matrices and new integrable spin-orbital chains
P. N. Bibikov
Several complete systems of integrability conditions on a spin chain Hamiltonian density matrix are presented. The corresponding formulas for -matrices are also given. The latte…
How to solve Yang-Baxter equation using the Taylor expansion of R-matrix
P. N. Bibikov
A new method for solving the Yang-Baxter equation is presented. It is based on the Taylor expansion of R-matrix which is developed up to the power lambda^6. Using this method the R…
R-matrix for asymmetrical XXZ spin chain in magnetic field
P. N. Bibikov
The R-matrix for asymmetrical XXZ spin chain in magnetic field is presented. It depends non-additively on two spectral parameters.
Derivation of R-matrix from local Hamiltonian density
P. N. Bibikov
A computer algebra algoritm for solving the quantum Yang-Baxter equation is presented. It is based on the Taylor expansion of R-matrix which is developed up to the order λ^6. As an…