Quantization of pointlike particles and consistent relativistic quantum mechanics

We revise the problem of the quantization of relativistic particle models ( spinless and spinning), presenting a modified consistent canonical scheme. One of the main point of the modification is related to a principally new r ealization of the Hilbert space. It allows one not only to include arbitrar y backgrounds in the consideration but to get in the course of the quantiza tion consistent relativistic quantum mechanics, which reproduces literally the behavior of the one-particle sector of the corresponding quantum field. In particular, in a physical sector of the Hilbert space, a complete posit ive spectrum of energies of relativistic particles and antiparticles is rep roduced, and all state vectors have only positive norms.