An Application of Numerical Methods to the One-Dimensional Oscillator.

Abstract

The paper is a report on a study of the use of numerical methods for solving the one-dimensional oscillator problem in quantum mechanics. The results of the study showed that under certain conditions numerical methods have a significant advantage over perturbation theory in the accurate determination of eigensolutions. Numerical solutions obtained with the initial value method consistently had relative errors on the order of .0001% or less. In contrast, the relative errors in values computed with second-order perturbation theory ranged as high as 14% for some of the cases considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0853817

Entities

People

  • Jerry D. Hines

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Contrast
  • Mechanics
  • Oscillators
  • Perturbation Theory
  • Perturbations
  • Physics
  • Quantum Mechanics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematics or Statistics

Technology Areas

  • Quantum Computing