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Unattainability of nodes
It is discussed how a probabilistic generalization of classical mechanics of a point-particle to its quantum version, as a straight forward application of the Copenhagen interpretation of quantum mechanics, intrinsically motivates a multi-particle concept. This corresponds to the unattainability of the nodes by the modeling stochastic process. That property is shown here to be fulfilled for physically interesting potentials. The language of nonstandard analysis is applied not only intending to make the involved microstructure more transparent but also using it as a handy tool.