Structure of the essential spectrum and the discrete spectrum of the energy operator of three-magnon systems in the Heisenberg model

S. M. Tashpulatov

Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent

Abstract: We consider the energy operator of three-magnon systems in the Heisenberg model and examine the structure of the essential spectrum and the discrete spectrum of the system in the $\nu$-dimensional lattice $Z^{\nu}$ with the coupling nearest neighbors.

Keywords: Heisenberg model, three-magnon systems, essential spectrum, discrete spectra

UDC: 517.984

MSC: 62M15, 46L60, 47L90

DOI: 10.36535/2782-4438-2025-242-82-91