Symplectic volume form (source code)

= Symplectic volume form
{title2=$\omega^n/n!$}

= Phase-space volume
{synonym}

The top-degree <differential form> $\omega^n/n!$ on a $2n$-dimensional <symplectic manifold>. Every <canonical transformation> preserves this form. For $n>1$, preservation of this volume alone does not imply preservation of the <symplectic form>.