The contribution to the propagator from a particular trajectory is $e^{\frac{iS[x(t)]}{ћ}}$. Does anyone knows how to get to this $e^{\frac{iS[x(t)]}{ћ}}$? As in showing me any reliable source regarding this because I try searching for how to come up with it but to no avail. Sorry for this stupid question as I just started.
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Do you mean the derivation of that factor? The canonical reference is Feynman & Hibbs. I don't know if it will be rigorous enough for you. – jinawee Jan 02 '16 at 11:33
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Yes I talking about the factor, the exponential one. Feynman&Hibbs? I try searching for it and the search result mostly shows books on QM and PIF – newbie125 Jan 02 '16 at 11:51