[Tex/LaTex] Align an “equation” environment with an “align” environment in blocks in beamer

Question

I have a frame here:

\begin{frame}
  \frametitle{Susceptibilities}
  \begin{columns}
    \column{.5\textwidth}
    \begin{block}{\textit{Ab-initio} Susceptibility}
  \begin{equation*}
    \chi(\omega) = \frac{\mathcal{F}\left\{\mu(t)\right\}(\omega)}{\mathcal{F}\left\{E(t)\right\}(\omega)}
  \end{equation*}
  \end{block}
  \column{.5\textwidth}
  \begin{block}{Perturbative Susceptibility}
  \begin{align*}
    \chi(\omega) =& \chi^{(1)}(\omega) + \chi^{(2)}(\omega)E(\omega) \\
    &+ \chi^{(3)}(\omega)\left| E(\omega) \right|^2 + \dots
  \end{align*}
  \end{block}
\end{columns}
\end{frame}

Where on the left I have an equation environment, and on the right, I have an align environment. I want these two to take up the same amount of vertical space so that the blocks are the same vertical height on the page.

How do I do that?

Answer 1

The beamer-wise solution is just to use the [t] option for columns. @samcarter also pointed this out in a comment.

\documentclass[11pt]{beamer}
\usepackage{amsmath,lmodern}
\usetheme{Warsaw}
\begin{document}

\begin{frame}
  \frametitle{Susceptibilities}
  \begin{columns}[t]
    \column{.5\textwidth}
    \begin{block}{\textit{Ab-initio} Susceptibility}
  \begin{equation*}
    \chi(\omega) = \frac{\mathcal{F}\left\{\mu(t)\right\}(\omega)}{\mathcal{F}\left\{E(t)\right\}(\omega)}
  \end{equation*}
  \end{block}
  \column{.5\textwidth}
  \begin{block}{Perturbative Susceptibility}
  \begin{align*}
    \chi(\omega) &= \chi^{(1)}(\omega) + \chi^{(2)}(\omega)E(\omega) \\
    &\phantom{=}+ \chi^{(3)}(\omega)\left| E(\omega) \right|^2 + \dots
  \end{align*}
  \end{block}
\end{columns}
\end{frame}

\end{document}