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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 and discrete spectra 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">\(\mathbb {Z}^{\nu }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">Z</mi> </mrow> <mi>ν</mi> </msup> </math></EquationSource> </InlineEquation> with coupling between 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 ON TWO-DIMENSIONAL AND THREE-DIMENSIONAL LATTICES

  • 期刊论文

  • 发表日期：

    2026年2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 and discrete spectra of the system in the \(\nu \) ν -dimensional lattice \(\mathbb {Z}^{\nu }\) Z ν with coupling between nearest neighbors.