The momentum space representation of the Schrödinger equation of a particle in a potential V(\(\overrightarrow{r}\)) is \(\left(|p|^2+β(∇^2_p)^2\right)\psi(p, t)=ih\frac{\partial}{\partial t}\psi(p, t)\), where (∇p)i = \(\frac{\partial}{\partial p i}\), and β is a constant. The potential is (in the following V0 and a are constants)
1
\(V_0e^{-r^{2}}/a^2\)
2
\(V_0e^{-r^{4}}/a^4\)
3
\(V_0\left(\frac{r}{a}\right)^2\)
4
\(V_0\left(\frac{r}{a}\right)^4\)