Using command with optional arguments inside tikzcd arrows

Question

I have defined a command for the jacobian matrix, such as follows

\newcommand{\Jacobian}[2][]{\operatorname{J}_{#1}{#2}}

The problem comes if I try to use it inside a tikzcd arrow, probably because of problems with interepreting the brackets. I want to write something like this:

\begin{tikzcd}
    \mathbb{R}^{2} \arrow[r,"\Jacobian[p]{f}"] &
    \mathbb{R}^{2}
\end{tikzcd}

And have an output as if I had typed

\begin{tikzcd}
    \mathbb{R}^{2} \ar[r, "\operatorname{J}_{p}{f}"] &
    \mathbb{R}^{2}
\end{tikzcd}

But if I try this, compilation fails with

ERROR: Argument of \tikz@quote@@parser has an extra }.

--- TeX said ---
<inserted text> 
\par 
l.152     \end{tikzcd}

--- HELP ---
From the .log file...

I've run across a `}' that doesn't seem to match anything.
For example, `\def\a#1{...}' and `\a}' would produce
this error. If you simply proceed now, the `\par' that
I've just inserted will cause me to report a runaway
argument that might be the root of the problem. But if
your `}' was spurious, just type `2' and it will go away.

I tried putting braces in some reasonable places without success.

Answer 1

You have to enclose the whole command in braces inside the quotes.

\begin{tikzcd}
    \mathbb{R}^{2} \arrow[r,"{\Jacobian[p]{f}}"] &
    \mathbb{R}^{2}
\end{tikzcd}