The Schrodinger Equation is a Field Interaction Theory. It is the first generalized form of a Physics law that combines an equation of motion with a Quantum Field theory. The potential V in the equation describes the forces acting on a physical system whose changing state is predicted by the equation, where the state is described by the so-called wave function.
This begs the question: Where do we get V? That question should be the gateway towards the next step, which is to replace or augment the Schrodinger equation with a more generalized law, applicable to a specific force; the electromagnetic field, for example.
The main consideration to achieve this step is to acknowledge that V represents a concept from classical field theory. The form of a more correct Quantum Law has to stand on its own. It cannot be propped up by classical Physics. A modern Quantum Electro Dynamical (QED) Field Theory must be the basis for moving forward.
The Schrodinger Equation is a bridge, but it must be replaced by a QED theory that gives a much better insight into what is really happening when an electron meets a QED Field.
Proving the Relativistic Energy-Momentum relation, the hard way and the easier way.
This adds the proof for the relativistic mass effects from motion, proving that gravity causes it.