The variational symmetries and conservation laws in classical theory of Heisenberg (anti)ferromagnet

2002/01/01 by R. F. Egorov, I. G. Bostrem, A. S. Ovchinnikov +1 · 1 citation
Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics of Superconductivity and Magnetism #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0375-9601(01)00813-1

published as Phys. Lett. A 292 (2002) 325-334

openalex publication_date 2002/01/01 · arxiv created 2003/03/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The nonlinear partial differential equations describing the spin dynamics of Heisenberg ferro and antiferromagnet are studied by Lie transformation group method. The generators of the admitted variational Lie symmetry groups are derived and conservation laws for the conserved currents are found via Noether's theorem.

Citations

• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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