A new simple class of superpotentials in SUSY Quantum Mechanics

Fabricio Marques, Osvaldo Negrini, Adilson Jose da Silva

In this work we introduce the class of quantum mechanics superpotentials $W(x)=g\epsilon (x)x^{2n}$ and study in details the cases $n=0$ and 1. The $n=0$ superpotential is shown to lead t…