Relativistic quantum particle in a delta function potential field relativistic deltahydrogen

Full Text: a motion of relativistic quantum particle in the delta function potential field has been considered. We have defined an explicist form of the wave functions in the both momentum and relativistic configurational spaces. The energy spectrum and Wigner distrubution function for the system have been found. The particle momentum belongs to the one-dimensional Labachevsky space. The non-relativistic limits of the obtained expressions have been calculated. As in the non-relativistic case, in the relativistic case the system has had one diskrete state