Topological currents in relativistic Schrödinger theory

Abstract

In relativistic Schrödinger theory, additional conservation laws arise of topological origin. These are due to the existence of topological currents which are built up by the exclusive use of operators, whereas the matter currents are composed of the densities. The general concepts and results are exemplified by considering a specific (Dirac) spinor field over the Robertson - Walker universes. The invariant, associated to the topological current, can be explicitly determined for -bundles.