SPECTRA AND BOUND STATES OF THE ENERGY OPERATOR OF TWO-MAGNON SYSTEM IN A NON-HEISENBERG FERROMAGNET WITH SPIN S = 3/2 AND NEAREST-NEIGHBOR INTERACTIONS

DOI10.1142/S0219025709003562zbMath1177.82124OpenAlexW2064120402MaRDI QIDQ3636004

S. M. Tashpulatov

Publication date: 30 June 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025709003562

zbMATH Keywords

latticeHamiltonianbound statescreation and annihilation operatorsWeyl criterionnon-Heisenberg ferromagnetfull quasi-momentumvaccum vector

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Fredholm integral equations (45B05) Statistical mechanics of magnetic materials (82D40)

Cites Work

• Unnamed Item
• Investigation of the energy operator spectrum for a two-magnon system in a one-dimensional anisotropic Heisenberg ferromagnet with second neighbor interactions
• Investigation of the energy operator spectrum of the two-magnon system in a one-dimensional \(\text{spin} s=1\) non-Heisenberg ferromagnet with nearest and second-nearest neighbor interactions
• Two-magnon states in a one-dimensional non-Heisenberg ferromagnet of \(\text{spin} s=1\) with interactions up to third neighbors
• Spectra and bound states of the energy operator of two-magnon systems in a non-Heisenberg ferromagnet with spin one and nearest-neighbor coupling

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