量子力学中形变形状不变超势与$\hbar$的幂展开
Deformed Shape Invariant Superpotentials in Quantum Mechanics and Expansions in Powers of $\hbar$
摘要：
我们表明，Gangopadhyaya，Mallow，和他们的同事开发的方法来处理超对称量子力学中的形状不变的潜力，并在替换的形状不变的条件，这是一个差分微分方程，由一个无限组的偏微分方程组成，可以推广到变形的形状不变的潜力在变形的超对称量子力学。扩展的方法说明了几个例子，对应于$\hbar$独立的超势和超势明确依赖于$\hbar$。
英文摘要：
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 $\hbar$.
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