A symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional Schrоdinger Equation

Abstract

A general scheme of a symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional Shrodinger equation is presented. The corresponding algorithm of the developed program EWA using a conventional pseudocode is described too. With the help of this program the energy spectra and the wave functions for some Schrodinger operators such as quartic, sextic, octic anharmonic oscillators including the quartic oscillator with double well are calculated