【摘要】 本文用另一种方法,讨论了一个有几个束缚态的势函数V(x),在超对称变换下如何构造成具有n个参数的势函数家族,其成员有严格的Isospectral性质,即有完全相同的本征值谱,完全相同的反射和透射振幅。我们同时也指出了这势函数家族与KdV方程和另一些非线性方程的Soliton解之间的联系。更多还原

【Abstract】 For any potential V(x) which holds n bound states, we use another method to repeat supersymmetry transformations to construct an n—parameter family of strictly isospectral potentials (identical eigenenergies, reflection and transmission amplitudes). We also point the reletion between these potantials and pure soliton solutions of the KdV equation and other nonlinear equations.更多还原