论文标题
量子力学中的变形形状不变超电势和$ \ hbar $的功率扩展
Deformed Shape Invariant Superpotentials in Quantum Mechanics and Expansions in Powers of $\hbar$
论文作者
论文摘要
我们表明,gangopadhyaya,mallow及其同事开发的方法是在超对称量子力学中处理(翻译)形状不变的潜力,并在替换形状不变性条件方面组成,这是一个差异差异方程,是通过偏微分方程的无限差分集合形状的构型构型的差异构成的,可以在形状上进行变形。扩展方法用几个示例说明了,这些示例都与$ \ hbar $独立的superpotentials相对应,并根据$ \ hbar $明确地显式明确。
We show that the method developed by Gangopadhyaya, Mallow, and their coworkers to deal with (translationally) shape invariant potentials in supersymmetric quantum mechanics and consisting in replacing the shape invariance condition, which is a difference-differential equation, by an infinite set of partial differential equations can be generalized to deformed shape invariant potentials in deformed supersymmetric quantum mechanics. The extended method is illustrated by several examples, corresponding both to $\hbar$-independent superpotentials and to a superpotential explicitly depending on $\hbar$.