LOCALIZED ROTATING WAVELETS WITH HALF-INTEGER SPIN

Localized nonspreading solutions of massless wave equations with class ical parameters (initial position x0 of the center of the wave, intern al frequency OMEGA, intial velocity v0) describe single quantum events , and when averaged over these parameters they reproduce probabilistic wave functions, e.g. in interference phenomena. They propagate as qua ntum particles with dispersion relation of a massive particle. We cons truct here explicitly such solutions for the massless Dirac equation, Weyl equation, and as a limiting case, the Pauli equation.