Positive-energy Dirac equation and generalized coherent states (Q1602409)

The discovering of the connection of relativistic of relativistic wave equations with irreducible representations of the Poincaré group was the remarkable success in our understanding of mathematical foundations of QFT. Recently we showed that the group theoretical interpretation is attainable for that multiplier of these solutions which depends on the spin degrees of freedom only and do not depend on the coordinates of configuration space. In the present remark we give the analogous interpretation for the solutions of wave equation for positive-energy particles proposed by P. A. M.Dirac at 1971.