Mass spectrum and L\'evy-Schr\"odinger relativistic equation

We introduce a modification in the relativistic hamiltonian in such a way that (1) the relativistic Schr"odinger equations can always be based on an underlying L'evy process, (2) several families of particles with different rest masses can be selected, and finally (3) the corresponding Feynman diagrams are convergent when we have at least three different masses.