Symmetry analysis of and first integrals for the continuum Heisenberg spin chain

• Autores: M.C. Nucci, P. G. L. Leach
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 44, Nº 1, 2002, págs. 61-72
• Idioma: inglés
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• Resumen

  • Daniel et al. [6] analysed the singularity structure of the continuum limit of the one-dimensional anisotropic Heisenberg spin chain in a transverse field and determined the conditions under which the system is nonintegrable and exhibits chaos. We investigate the governing differential equations for symmetries and find the associated first integrals. Our results complement the results of Daniel et al.