Theoretical investigations of quantum electrodynamic processes in strong magnetic field are carried out. Such the processes may occur between colliding heavy ions. Magnetic fields of the nuclei are added and electric fields of nuclei mutually compensate one another in that region. The electron-positron pair production by a photon in the case when one additional photon is emitted in external magnetic field under nonresonant condition has been investigated. Kinematics of the process and the resonance conditions in approximation of strong magnetic field and weakly excited electron (positron) states (ultra-quantum approximation) have been studied. The resonant conditions have the place, when the photon energy is close to the splitting between Landau levels. The differential probability of nonresonant process has been obtained. The probability of the process is three order of magnitude less the resonant case.
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