Relativistic S-matrix of dynamical systems with boson and fermion constraints

The general solution for the S-matrix of an arbitrary Hamilton system with first-class boson and fermion constraints is obtained. No restrictions are imposed upon the structure functions of the involution of the constraints. The obtained unitarizing Hamiltonian contains a gamut of four-particle interactions of fermion and boson ghosts. The Fradkin-Vilkovisky theorem is generalized, and an extremely simple proof is given, based on global supersymmetry. (Auth.)