Relation between phase function and Green's function

A relation is established between the phase of the wave function and Green's function of onedimensional motion. On the basis of this relation, a series of accurate equations are obtained, including a formula for obtaining the Green's function at different one-dimensional coordinates from its form at coinciding one-dimensional coordinates.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 20–24, November, 1979.It remains to thank V. L. Bonch-Bruevich for useful discussions.