Resolving some confusion over the representation and interpretation of quantum mechanics

Quantum mechanics has been established for roughly one hundred years, yet there remain some confusion and debate. This embarrassing situation may lie in the nonuniformity of state vector representations, and in the confusing different probabilistic interpretations of the wave function. We realized that by insisting on representing the state vector, thus the wave function, as a dimensionless abstract object, bearing in mind the differences among the interpretations of Schrödinger, Born and Dirac over the wave function, in particular noticing the fact that the probabilistic interpretations of Schrödinger and Born are related by the Dirac’s completeness relation, and that the probabilistic behavior arises beyond the dimensionless state vector/wave function and the deterministic dynamic equation, then the confusion and debate over quantum mechanics can be largely resolved.