Method of multiple internal reflections in description of nuclear decay

A spatial-time method of description of alpha-decay of a nucleus is presented. The method is based on the quantum mechanical model of the alpha-decay of a composite nuclear system with the barrier. Alpha decay dynamics is described on the basis of multiple internal reflections of wave packets concerning with boundaries of the decay barrier. The method allows to study this process in details at any time moment or point of space. According to the method, some time before the time moment of the nuclear decay the nucleus makes oscilations. In the calculations of the time of the alpha decay of the composite nucleus it is needed to take into account time durations of these oscillations. The method of the multiple internal reflections allows to calculate the time of such oscillations before decay and the total alpha decay time.