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I am reading about the construction of the path integral in which states that the propagator is given by:
<qf l exp(-iHt/ħ l qi > = ∫Dq exp(i/ħ∫dt L(q,q'))
and Dq is the integration measure given by limN→∞Πn=1N-1 dqn. 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?
<qf l exp(-iHt/ħ l qi > = ∫Dq exp(i/ħ∫dt L(q,q'))
and Dq is the integration measure given by limN→∞Πn=1N-1 dqn. 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?