The approximate analytical method for solving the Schrodinger equation with the Gaussian potential is proposed. The essence of the method is to represent the wave function as a superposition of wave functions of exact solving problem Also, in order to control the accuracy, the problem was solved numerically in the momentum representation.

Keywords: Schrodinger equation, integral equation, wave function, Gaussian potential, harmonic oscillator.

Yu.A. Grishechkin – Faculty of Physics and Information Technology, F. Scorina Gomel State University

A.V. Paulenka – Faculty of Physics and Information Technology, F. Scorina Gomel State University

V.N. Kapshai – Faculty of Physics and Information Technology, F. Scorina Gomel State University