TITLE:
Structure of Essential Spectrum and Discrete Spectrum of the Energy Operator of Three-Magnon Systems in the Isotropic Ferromagnetic Non-Heisenberg Model with Spin One and Nearest-Neighbor Interactions
AUTHORS:
S. M. Tashpulatov
KEYWORDS:
Essential Spectrum, Discrete Spectrum, Three-Magnon Bound State, Two-Magnon Bound State, Non-Heisenberg Model
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.4,
April
24,
2019
ABSTRACT: We consider a three-magnon system in
the isotropic ferromagnetic Non-Heisenberg model with spin one and with a coupling between
nearest-neighbors. The structure of essential spectrum and discrete spectrum of
the systems in a ν-dimensional
lattice are investigated. We obtain the lower and upper estimates for the
number of three-magnon bound states of the system.