HARMONIC ANALYSIS ON THE LORENTZ GROUP, QUASIPOTENTIAL APPROACH AND PROTON-PROTON ELASTIC SCATTERING AT HIGH ENERGIES

摘要

The reduction of the representation of the translation group leads to the usual harmonic (Fourier) analysis with four-dimensional plane-waves. So this reduction stands for group theoretical definition of the momentum representation if the coordinate representation is given.nThe wave function of the system when a separation of the variables into center-of-mass and relative ones is performed, is factorized into an exponential and an ef¬fective wave function describing the relative motion. The effective wave function is transformed according to the unit representation of the Galilei group (up to rotations).