Nonlinear operator equation with constraint: the Heisenberg spin chain
Asesh Roy Chowdhury · Hadronic J.; (United States) · 1980
Techniques of differential form have been applied to the nonlinear operator equation of the Heisenberg spin chain. The two important-features of the equation are the operator character and the auxiliary constraint expressing the unit magnitude of the total spin at any point (x,t). We have shown how both of these can be accounted for in the usual prolongation analysis. Finally the inverse scattering equations of Takhtajan are obtained.