I have a random process $\chi$, which has infinitesimal generator
$$\mathcal{L} = A\bigg(\chi^2\frac{\partial^2}{\partial \chi^2}+\chi\frac{\partial}{\partial \chi}\bigg), \quad A\in\mathbb{R}.$$
I want to find however, the generator of $|\chi|^2$. I am having trouble finding this. I would appreciate some help.