English

Unification of the wave and guidance equations for spin 1/2

Quantum Physics 2021-11-09 v2

Abstract

We generalize our previous unification of the Schrodinger and guidance equations in a single inhomogeneous Schrodinger equation to a Riemannian manifold with an external vector potential. A special case yields the unified theory for a spin 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.

Keywords

Cite

@article{arxiv.2003.06058,
  title  = {Unification of the wave and guidance equations for spin 1/2},
  author = {Peter Holland},
  journal= {arXiv preprint arXiv:2003.06058},
  year   = {2021}
}

Comments

Minor clarifying improvements, results unchanged. Published in Quantum Stud.: Math. Found. 06 August 2020