I am reading about the construction of the path integral in which states that the propagator is given by:(adsbygoogle = window.adsbygoogle || []).push({});

<q_{f}l exp(-iHt/ħ l q_{i}> = ∫Dq exp(i/ħ∫dt L(q,q'))

and Dq is the integration measure given by lim_{N→∞}Π_{n=1}^{N-1}dq_{n}. Can someone help me understand this integration measure a bit better? I don't understand how you would carry out the integral and what this infinite product even means. Does it give us the integral over all possible paths in phase space?

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# Construction of the path integral

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