Phase-space path integral
= Phase-space path integral
{title2=$K=\int\mathcal Dq\,\mathcal Dp\,e^{i\int(p\dot q-H)dt}$}
A <phase-space path integral> represents a quantum transition kernel by integrating both coordinates and conjugate momenta with action $\int(p\dot q-H)dt$. It follows from inserting position and momentum completeness relations between short-time evolution operators. For a quadratic momentum dependence the momentum variables can be integrated by a <Gaussian integral>.