# Path Integral Formulation: Allowable Paths?

Gold Member
In Feynman’s Path Integral formulation of QM, one starts by considering all possible paths between two fixed space-time events.

Question: Must the wave-length associated with each allowable path divide evenly into the spatial length of the path?

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Perhaps I'm stupid right now, but as far as I can see there is no such thing as a wavelength in the path integral - you just integrate over the action. If you have a free particle and consider a path taken with constant velocity, the phase given by exp(iS) will rotate with constant rate - in this case you could define something like a "wavelength" as the distance between two points of equal phase, but there is no need for this phase to have the same value at the end as at the starting point.

stevendaryl
Staff Emeritus