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When employing Feynman path integral to compute propagators in quantumphysics, the sum over the set of all paths is not always naive. In fact, oftenan auxiliary phase has to be included as a weight for each path. In thisarticle we discuss the nature of this auxiliary phase when the classical pathinvolved is reflected through the instance of a free particle confined to aline segment.

Boundary Condition and the Auxiliary Phase in Feynman Path Integral