V.V.Sukhanov Solutions of nonstationary Dirac equation with the potential slowly depending on time (139K, Postscript) ABSTRACT. Asymptotic behaviour of the solution of the Cauchy problem for nonsta- tionary Dirac equation with the potential slowly depending on time is studied. Construction of asymptotic solution is based on spectral decomposition of the solution in current moment of time. It doesn't use the adiabatic theorem in scattering theory.