I have the following math equations:
\begin{align*}
&\mathcal{H} = \mathcal{H}^{(0)} + \mathcal{H}^{(1)} \\
&\mathcal{H}^{(0)} = -\frac{\hbar^2}{2m}(\nabla_{1}^{2} + \nabla_{2}^{2}) - \frac{e^2}{r_1} - \frac{e^2}{r_2}\\
&\mathcal{H}^{(1)} = \left(\frac{e^2}{R_{ab}} + \frac{e^2}{r_{12}} - \frac{e^2}{r_{a1}} - \frac{e^2}{r_{b2}}\right)
\end{align*}
I would like to have the first equation vertically centred on the left, drop the where, and simply have the other two on the right side in two different rows. How can this be achieved?
I've tried using tables, but this requires tabu or arrays. Source
I would like an amsmath only solution, but if this isn't possible then anything that isn't floating would be great.

