I know that the time-evolution operator in quantum mechanics is ##e^{-iHt}##.(adsbygoogle = window.adsbygoogle || []).push({});

Is this also called theSchrodingertime-evolution operator?

Also, can you guys explain why the amplitude ##U(x_{a},x_{b};T)## for a particle to travel from one point ##(x_{a})## to another ##(x_{b})## in a given time ##(T)## is the ##\textit{position representation}## of the Schrodinger time-evolution operator?

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# Propagation amplitude and time-evolution operator

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