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<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\nu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ν</mi> </math></EquationSource> </InlineEquation>-dimensional lattice <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(Z^{\nu }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>Z</mi> <mi>ν</mi> </msup> </math></EquationSource> </InlineEquation> with the coupling nearest neighbors.</p>

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STRUCTURE OF THE ESSENTIAL AND DISCRETE SPECTRA OF THE ENERGY OPERATOR OF THREE-MAGNON SYSTEMS IN THE HEISENBERG MODEL

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • S. M. Tashpulatov

摘要

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 \(\nu \) ν -dimensional lattice \(Z^{\nu }\) Z ν with the coupling nearest neighbors.