Structure of the essential and discrete spectra of the energy operator of three-magnon systems in the Heisenberg model on two-dimensional and three-dimensional lattices

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 and discrete spectra of the system in the $\nu$-dimensional lattice $\mathbb{Z}^{\nu}$ with coupling between nearest neighbors.

Keywords: Heisenberg model, three-magnon system, three-magnon bound state, eigenvalue, essential spectrum, discrete spectrum

UDC: 517.984

MSC: 62M15, 46L60, 47L90

DOI: 10.36535/2782-4438-2025-245-78-104