The main results:
It is shown that taking into account the baryon resonances in the multiple particle production essentially improves the agreement of the statistical theory with experiment (with S.Z.Belen'ky).
Radiative corrections to mu-e scattering and e⁺-e^– –> mu⁺-mu^– conversions are obtained.
The role of gamma+gamma –> e⁺+e^– process in the attenuation of the high energy photons in Universe is found.
The probabilities of the main processes in an intensive electromagnetic wave are obtained (with V.I.Ritus).
The energy spectrum of photons radiated by an electron moving in a constant electromagnetic field is obtained (special case of constant electric field and classical electron - with V.I.Ritus).
The representation of the propagator of a charged particle (spin 0,1/2,1) in an external electromagnetic field in terms of solutions of the wave equation is found in the theory with unstable vacuum.
The proper-time representation for the propagator of vector boson (with gyromagnetic ratio g=2) in constant electromagnetic field is obtained.
The parametric resonances in scalar particle pair production by a periodic electrical field is found (with N.B.Narozhny).
The effect of laser field on beta decays of nuclei is estimated (with V.I.Ritus).
The concept of Stokes line width is introduced for asymptotic expansions of functions near an essential singularity (with V.I.Ritus).
New interpretation of the wave function of a strongly bound state (p⁰ < 0), depending on type of statistic and on whether this state is occupied or not, is given.
In the theory with unstable vacuum the matrix elements of all processes (without radiative corrections) are found in terms of Bogoliubov coefficients and the unitarity of S-matrix is explicitly demonstrated.
The e⁺ e^– production by muon colliding with an atom or a nucleus is investigated in detail and various distributions are found.
The lowest nonlinear approximation of a new bimetric gravitational theory (depending on both eta_{mu nu} and g_{mu nu} is constructed and it is shown that already in this approximation the relativistic particle, in contrast to nonrelativistic Mercury, should move differently from prediction of General relativity.