Numerical solutions of quantum mechanical problems using the basis-spline collocation method

Authors
Odero, DO Peacher, JL Madison, DH
Citation
Do. Odero et al., Numerical solutions of quantum mechanical problems using the basis-spline collocation method, INT J MOD C, 12(7), 2001, pp. 1093-1108
Citations number
27
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831 → ACNP
Volume
12
Issue
7
Year of publication
2001
Pages
1093 - 1108
Database
ISI
SICI code
0129-1831(200109)12:7<1093:NSOQMP>2.0.ZU;2-3
Abstract
The time-dependent and time-independent Schrodinger equations have been num erically solved for several quantum mechanical problems with known analytic al solutions using the basis-spline collocation algorithm. This algorithm h as 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 Schrodinger equations and form a basis that could be used for solving these and similar problems.