Basic Considerations on the Interpretation of Quantum Mechanics A. Einstein (8)

Could one not try to limit the Ψ functions to be allowed according to this point of view, and to achieve it in such a way that the permitted Ψ functions can be interpreted as a representation of the individual systems? Such a possibility must be rejected for the very reason that the location accuracy of such a representation cannot be achieved for all times. The fact that the Schrödinger equation, in conjunction with Born's interpretation, does not result in a description of the real states of the individual systems, naturally prompts the search for a theory which is free of this restriction. There have been 2 efforts in this field so far, which have in common the adherence to the Schrödinger equation and the abandonment of Born's interpretation. The first attempt can be traced back to de Broglie, which was then followed up by Bohm with much astuteness. Just as Schrödinger's original investigation derives the wave equation as an analogy (linearization of Jacoby's equation of analytical mechanics) to classical mechanics, the equation of motion of the quantized individual system—based on a solution Ψ of the Schrödinger equation—should also be based on this analogy. The rule is as follows. Ψ is put in the R? form. This results in the (real) functions R and S. The derivation of S according to the coordinates should then be the impulses or velocities of the system as functions of time arise when the coordinates of the envisaged individual system are given for a specific time value.