We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
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.