A symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional schrödinger equation

  • Authors:

  • I. N. Belyaeva;N. A. Chekanov;A. A. Gusev;V. A. Rostovtsev;S. I. Vinitsky

  • Affiliations:

  • Belgorod State University, Belgorod, Russia;Belgorod State University, Belgorod, Russia;Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia;Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia;Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

  • Venue:
  • CASC'06 Proceedings of the 9th international conference on Computer Algebra in Scientific Computing
  • Year:
  • 2006

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Abstract

A general scheme of a symbolic-numeric approach for solving the eigenvalue problem for the one-dimensional Shrödinger 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 Schrödinger operators such as quartic, sextic, octic anharmonic oscillators including the quartic oscillator with double well are calculated.