双曲 Pöschl-Teller势是超对称量子力学中已知可解势中少数含有两个参数的势，且该势参数在满足形状不变性的条件下呈现出一种交错加性.本文探究了双参数交错加性对对应能级与波函数带来了怎样的变化.本文用超对称量子力学方法和势代数法精确求解了双曲Pschl-Teller势在双参数加性变化下对应的能量本征值和本征波函数.两种方法所求结果保持一致，相互对应，且参数的交错加性变化使得双曲 Pöschl-Teller势对应的能级与波函数产生了部分缺失.

The hyperbolic Pöschl-Teller potential is one of the few known solvable potentials in supersymmetric quantum mechanics that contains two parameters, and this potential’s parameters exhibit a cross-additivity change under the condition of shape invariance. This article explores how the two parameters’ cross-additivity affects the corresponding energy levels and wave functions. This paper uses supersymmetric quantum mechanics and potential algebra methods to accurately solve the energy eigenvalues and eigenwave functions corresponding to the hyperbolic Pöschl-Teller potential with the cross-additivity of two parameters. The results obtained by the two methods are consistent and correspond to each other. And the cross-additivity changes in parameters result in partial missing energy levels and wave functions of the hyperbolic Pöschl-Teller potential.