• DocumentCode
    984148
  • Title

    Numerical solution of the stationary state Schrodinger equation using transparent boundary conditions

  • Author

    Moyer, Curt A.

  • Author_Institution
    Univ. of North Carolina, Wilmington, NC, USA
  • Volume
    8
  • Issue
    4
  • fYear
    2006
  • Firstpage
    32
  • Lastpage
    40
  • Abstract
    To solve the discrete version of the stationary state Schrodinger equation to Numerov accuracy, the author uses boundary conditions at the limits of the computational domain that mimic an interval of infinite extent. He also describes methods for finding particle energies, scattering coefficients, and partial-wave phase shifts.
  • Keywords
    Schrodinger equation; boundary-value problems; Numerov accuracy; partial-wave phase shifts; particle energies; scattering coefficients; stationary state Schrodinger equation; transparent boundary conditions; Boundary conditions; Computational efficiency; Difference equations; Differential equations; Eigenvalues and eigenfunctions; Particle scattering; Schrodinger equation; Stationary state; Taylor series; Writing; Schrodinger equations; boundary conditions; state equations;
  • fLanguage
    English
  • Journal_Title
    Computing in Science & Engineering
  • Publisher
    ieee
  • ISSN
    1521-9615
  • Type

    jour

  • DOI
    10.1109/MCSE.2006.74
  • Filename
    1644705
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=984148