Unification of the wave and guidance equations for spin $$\frac{\mathbf {1}}{\mathbf {2}}$$

Abstract

AbstractWe generalize our previous unification of the Schrödinger and guidance equations in a single inhomogeneous Schrödinger equation to a Riemannian manifold with an external vector potential. A special case yields the unified theory for a spin $$\frac{1}{2}$$ 1 2 rigid rotator. The theory is proved to be symmetrical under the Galileo group, the unified field that integrates the particle and guiding wave being a 2-spinor.