Euclidean configuration-space transition kernel
= Euclidean configuration-space transition kernel
{c}
{title2=$\langle q_f|e^{-H\tau/\hbar}|q_i\rangle$}
For $H=p^2/(2m)+V(q)$, time slicing gives a <Euclidean path integral> over paths with the specified endpoints and action $S_E=\int[m\dot q^2/2+V(q)]dt$. Each step contributes normalization $(m/(2\pi\hbar\delta))^{1/2}$. This normalization fixes the units and endpoint factors of the kernel, which differ from amplitudes between normalized localized wavepackets.