Dynamics of a generalised classical Heisenberg chain

Z. Slanič, Harvey Gould, Jan Tobochnik

Erwin Patzak, H.-J. Mikeska

孝 利根川

F. D. M. Haldane

The m-magnon bound state (or soliton) excitation spectrum of an exactly solvable generalisation of the Heisenberg spin chain with arbitrary S is described. It is in qualitative agreement with predictions based on the classical continuum model. The classical limit of the generalised model is obtained.

N. Papanicolaou

Haldane (1982) conjectured that a simple generalisation of the Heisenberg spin chain leads to a completely integrable classical system without invoking the usual continuum approximation. Complete integrability is established for the generalised discrete chain by exhibiting a Lax pair and an infinite set of non-local conservation laws. The associated inverse scattering problem is also formulated providing explicit soliton solutions.

T. Schneider, E. Stoll