一类具有能谱E_n=E_1·n^2的新可解势

A New Class of Exact Solvable Potentials with the Energy Levels E_n=E_1·n^2

利用正、逆超对称变换的复合,我们从一维无限深方势阱的哈密顿算符出发得到了一类具有能谱形式为E_n=E_1·n^2的新可解势,并给出了在该势场中粒子能量本征函数的明星形式。

Using the supersymmetric transformations, we obtain a new class of solvable potentials from the one-dimensional rectangular potential well. The energy levels of the new potentials are En=E1 ·n2 ,and the exact eigen-functions are also given in this paper.