标题： 新的可解的形状不变的有效质量势能 显示英文标题

标题： New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass

摘要： 通过在形状不变势的概念内使用特定的超势假设，生成了四种新的精确可解的、实数的和形状不变的势，这些势与位置相关的有效质量有关。 束缚态和基态波函数的相应能量谱代数地作为自由参数的函数获得，并将结果与其他文献中的结果进行了比较。 显示英文摘要

摘要： Four new exactly solvable, real and shape-invariant potentials associated with a position-dependent effective mass are generated within the concept of shape-invariant potentials using a specific ansatz for superpotential. The accompanying energy spectra of the bound-state and the ground-state wavefunction are obtained algebraically as a function of free parameters and the results are compared with those of others works in the litterature.