Accession Number : AD0853817

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

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Hines, Jerry D.

Report Date : JUN 1969

Pagination or Media Count : 107

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)

Descriptors :   (*QUANTUM THEORY, OSCILLATION), (*OSCILLATION, NUMERICAL ANALYSIS), VIBRATION, WAVE FUNCTIONS, PERTURBATION THEORY, DIFFERENCE EQUATIONS, MATRICES(MATHEMATICS), BOUNDARY VALUE PROBLEMS, THESES.

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE