- #1

cpsinkule

- 174

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*of neighboring integrals of the form : ∫Φdx*

**product**_{1}...dx

_{n}when the whole idea is based on adding the contribution of neighboring paths. I need some help understanding why it is of the form ∫Φdx

_{1}...dx

_{n}and not the form ∫Φdx

_{1}+∫Φdx

_{2}+...∫Φdx

_{n}where Φ is e

^{iS/ħ}. I hope I'm making sense. In the formulation of the idea, we have discrete points in time where we sum over all values of x at that point, namely ∫Φdx

_{i}and we add each contribution in the discrete limit Σ∫Φdx

_{i}. Why is it that this turns into a chain of differentials dx

_{i}in the limit that the length of the time intervals goes to 0 and the number of intervals goes to infinity? Again, I hope this makes sense and that you can shed some light on this for me.