New Numerical Methods Applied to Solving the One-Dimensional Eigenvalue Problem.

Abstract

Two new numerical methods, the log derivative and the renormalized Numerov, are developed and applied to the calculation of bound-state solutions of the one-dimensional Schroedinger equation. They are efficient and stable; no convergence difficulties are encountered with double minimum potentials. A useful interpolation formula for calculating eigenfunctions at nongrid points is also derived. Results of example calculations are presented and discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1977
Accession Number
ADA048446

Entities

People

  • Bernard R. Johnson

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Algorithms
  • Boundaries
  • Computer Programs
  • Computers
  • Eigenvalues
  • Equations
  • Errors
  • Interpolation
  • Intervals
  • Ions
  • Iterations
  • Laser Diodes
  • Morse Potential
  • New York

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis