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Answer by Not even trivial for Propagator as a Green's function in...

The problem should be the equation\begin{align}i\hbar\dfrac{\partial}{\partial t}\Theta K&=\hat H\Theta K\end{align}Indeed if you start from\begin{align}i\hbar\dfrac{\partial}{\partial...

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Propagator as a Green's function in non-relativistic QM

I have a propagator$$ K=\sum_k\langle x|a_k\rangle\langle a_k| y\rangle \exp\left\{ \frac{-iE_k(t-t_0)}{\hbar} \right\} ~~,\tag{1} $$which I know satisfies the time-dependent Schrodinger...

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