铁磁链方程的解法和Takhtajan方程的证明

铁磁链方程的解法和Takhtajan方程的证明 A METHOD FOR SOLVING THE EQUATION OF A FERROMAGNET CHAIN AND VERIFICATION OF THE TAKHTAJAN EQUATION 黄念宁 Huang Nianning first-author 根据规范等价性,对铁磁链方程的求解采用非线性薛定谔方程的反散射法和求出的所需规范变换的明显形式。证明了求解铁磁链方程的Takhtajan方法与这里的方法在结果上一致,从而证明了Takhtajan方程的正确性而避免了通常证法上的缺点。 Based on the gauge equivalence, we solve the equation of a Heisenberg ferromagnet chain by usig the inverse scattering method of the nonlinear Schroedinger equation and an obvicusly obtained form of the required gauge transformation. We show that the solutions of a ferromagnet chain by the Takhtajan’s method identify with that by the above mentioned method. Then we prove the correctness of the Takhtajan equation ant avoid the de fects of its current derivations. 中国科学院科学基金;中山大学高等研究中心 1985-04-01 2021-04-01 4