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Hallucinogen

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Wave functions lack trajectories, so do sets. Wave functions also distribute over areas, as sets can do. To my understanding, wave functions are also subject to decomposition; for example, an atom has an associated wave function, and this can decompose into the associated wave functions of the particles atoms are believed to be composed of. In exactly the same way, we can view the atom as a set, containing subatomic particles as its elements.

As such sets of objects may correspond to unique superpositions.

I would like to know if I am correct in my analysis and if anyone knows of any explicit common features or properties of mathematical sets and wave functions?