= Normalized short-time Schrödinger kernel
{title2=$K_{\Delta t}(q,q^\prime)=(2\pi i\Delta t)^{-1/2}e^{i(q-q^\prime)^2/(2\Delta t)-i\Delta tV(q^\prime)}$}
For unit mass and $\hbar=1$, this prepoint kernel tends to the identity and generates the <Time-dependent Schrodinger equation>. The square-root branch follows the damped <Fresnel integral>. Its normalized moments are $1$, $0$, and $i\Delta t$ at orders zero, one and two; these fix both the normalization and the kinetic sign.
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