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Feynman integrals, in the context of the Schrödinger equation with a scalar potential, are defined by means of an analytic continuation in the mass parameter from the corresponding Wiener integrals. The method yields a new interpretation of highly singular attractive potentials in quantum mechanics. For the example of the attractive 1/r2 potential, this interpretation agrees with classical mechanics in the correspondence limit.
Edward Nelson (Sun,) studied this question.
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