Relativistic wavefunctions on spinor spaces

Abstract

In extending the work done by Wigner (1963) the authors introduce the Poincare group representations of functions defined on the space of complex spinors. They give a geometrical interpretation of the spinor space for both the massive and massless cases. In the massive case they get a six-dimensional manifold, with three compact dimensions. In the massless case they get a four-dimensional manifold, with one compact dimension.