>>12798946In classical mechanics, objects are delocalized over space as well. There's no such thing as a point particle.
In QM, "objects" are described by rays in a vector space. This allows for an interpretation as a probability distribution upon choosing a basis for the vector space, but this is not strictly necessary. In particular, when physicists talk about probabilities they are talking about "measurements" of a quantum system, which we effectively model as a sharp, sudden, discontinuous jump.
This isn't really what you're thinking of when you talk about interactions between quantum objects. This is just unitary evolution governed by Schrodinger's equation under a Hamiltonian which contains the interaction terms, e.g., proton-electron Coulomb potential. These dynamics are continuous and deterministic.
