Double slit experiment

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I gather that in Feynman's approach to calculating the paths to the screen, paths that include the particle tunneling through barrier would also be accounted for. When calculating the probability for the particle to land at position x on the end screen, that includes all paths to get to x (going through both slits, going to the end of the universe and back), including the tunneled paths, which replicates the Schrodinger equation (QM) prediction as well?
 

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