# Two paths having the same phase in the path integral approach

In the path integral approach to Quantum Mechanics, can two distinctly different paths of the possible infinite paths have the same phase, i.e can there be a bimodal distribution of the phases associated with each path? And Why?

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Isn't this the point of the double-slit experiment? The amplitudes for paths passing through the two slits will constructively interfere if they have the same phase. –  Scott Carnahan Jul 20 '11 at 10:56

Phases are a number, paths are an infinite dimensional space. Solving the equation "phase of path = c" gives an infinite dimensional space of paths with the exact same phase. I suppose you meant the classical question "are their two nearby classical trajectories with the same action", which is completely different.

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