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 ()
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.
Share and Cite:
Tashpulatov, S. (2019) 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.
Journal of Applied Mathematics and Physics,
7, 874-899. doi:
10.4236/jamp.2019.74059.
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