Green's functions of linear and three dimensional oscillators in a constant and homogeneous electromagnetic field

The retarded Green's functions are found for linear and three dimensional harmonic oscillators in constant and uniform electric and magnetic fields. These results are applied to the problem of the motion of wave packets of Gaussian shape.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 29–33, August, 1973.In conclusion the authors thank A. A. Sokolov for a discussion of the obtained results.