So far I have the schrodinger equation in 1 dimension:
$$
\bbox[.5em, border:.1em solid gray]{
i\hbar\frac{\partial \Psi}{\partial t} = \frac{-\hbar^2}{2m} \frac{\partial^2 \Psi}{\partial x^2} + V \Psi}
$$
and this formulation of expectation value of a physical quantity:
$$
\bbox[.5em, border:.1em solid gray]{
\left<Q(x, p)\right>=\int\limits_{-\infty}^{+\infty}{\Psi^\ast\left[Q\left(x, −i\hbar \frac{\partial}{\partial x}\right)\right]\Psi}\,\mathrm{d}x
}
$$