14 citations
- Boğaziçi UniversityTR2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- Institut Élie Cartan de LorraineFR1 paper
- Institute of Problems of Mechanical EngineeringRU1 paper
- Istanbul Technical UniversityTR1 paper
- North-West State Technical UniversityRU1 paper
- St Petersburg UniversityRU1 paper
- Université de LorraineFR1 paper
- University of SannioIT1 paper
8 papers
Thermodynamics of an Ising-like XXZ chain in a longitudinal magnetic field in the framework of the Quantum Transfer Matrix approach
P. N. Bibikov
Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg-Ising chain with strong easy-axis anisotropy. Al…
Low-temperature asymptotic of the transverse dynamical structure factor for a magnetically polarized XX chain
P. N. Bibikov
Dyson equation for the real two-time commutator retarded one-magnon Green function of the ferromagnetically polarized XX chain is suggested following the Plakida-Tserkovnikov algor…
Scalar problems in junctions of rods and a plate. II. Self-adjoint extensions and simulation models
Renata Bunoiu, Giuseppe Cardone, Sergey A. Nazarov
In this work we deal with a scalar spectral mixed boundary value problem in a spacial junction of thin rods and a plate. Constructing asymptotics of the eigenvalues, we employ two…
Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets
P. N. Bibikov
Various versions of the Bethe ansatz are suggested for evaluation of scattering two-magnon states in 2D and 3D Heisenberg-Ising ferromagnets. It is shown that for 2D square (3D qub…
Recursion operators and bi-Hamiltonian structure of the general heavenly equation
M. B. Sheftel, A. A. Malykh, D. Yazıcı
We discover two additional Lax pairs and three nonlocal recursion operators for symmetries of the general heavenly equation introduced by Doubrov and Ferapontov. Converting the equ…
Three magnons in an isotropic ferromagnetic chain as an exactly solvable non-integrable system
P. N. Bibikov
It is shown that a generalization of Bethe Ansatz based on an utilization of {\it degenerative discrete-diffractive} wave functions solves the three-magnon problem for the is…