I should probably do a last paper on quantum-mechanical tunneling and potential barriers and their corollary, of course: potential wells. Indeed, the ring current model comes with a dynamic view of the fields surrounding charged particles. Potential barriers should, therefore, not be thought of as static fields: they vary in time. They are the joint result of two or more charges moving around. Hence, a particle breaking through a ‘potential wall’ or coming out of a potential ‘well’ probably just uses an opening which corresponds to a classical trajectory.
However, it is not an easy analysis: it should be relativistically correct and we, therefore, need to describe the fields in terms of the vector potential and all that. I’ll need to look the math again here.
Jean Louis Van Belle, 19 May 2020