Numerical Solutions of Quantum Mechanical Problems Using the Basis-Spline Collocation Method

Author

D. O. Odero
Jerry Peacher, Missouri University of Science and TechnologyFollow
Don H. Madison, Missouri University of Science and TechnologyFollow

Abstract

The time-dependent and time-independent Schrödinger equations have been numerically solved for several quantum mechanical problems with known analytical solutions using the basis-spline collocation algorithm. This algorithm has been demonstrated to be efficient and versatile. The results from these calculations illustrate the necessary numerical considerations required for solving both time-independent and time-dependent Schrödinger equations and form a basis that could be used for solving these and similar problems.

Recommended Citation

D. O. Odero et al., "Numerical Solutions of Quantum Mechanical Problems Using the Basis-Spline Collocation Method," International Journal of Modern Physics C, vol. 12, no. 7, pp. 1093 - 1108, World Scientific Publishing Co. Pte Ltd, Sep 2001.

The definitive version is available at https://doi.org/10.1142/S0129183101002358

Department(s)

Physics

Keywords and Phrases

Basis-Spline; Coupled Differential Equation; Numerical Methods; Scattering Problems; Schrö; dinger Equation

International Standard Serial Number (ISSN)

0129-1831

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 World Scientific Publishing Co. Pte Ltd, All rights reserved.

Publication Date

01 Sep 2001