The Fradkin operator method

The paper on the Fradkin operator method consists of two parts. The first is a universal derivation of the closed functional solution to the operator Cauchy problem for the Heisenberg equations of motion. The derivation is the most elegant and simple way of obtaining the path integral as a direct consequence of the operator quantum mechanical or statistical dynamical equations. The second part deals with operator canonical quantisation of relativistic dynamical systems with first-class constraints which generate an open irreducible gauge algebra of any rank. The general method of constructing the unitarising Hamiltonian in relativistic phase space is presented. (author)