The accuracy of Numerov's method for eigenvalues
β Scribed by A. L. Andrew
- Book ID
- 105403421
- Publisher
- Springer Netherlands
- Year
- 1986
- Tongue
- English
- Weight
- 82 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Formulas axe established for the errors in the eigenvalues obtained by using standard Numerov integration methods. These error estimates can be used to derive more accurate eigenvalues without the necessity of increasing the number of iteration steps.
The Numerov-Cooley and Hartree-Cooley formulae for correcting a trial eigenvalue of the Schrodinger equation are derived from linear algebra. The usual implementation of the former is noted to contain an error in the square of the step size, but in practical iteration it makes only a small change to
A variant of the Numerov method is adapted to classical trajectory calculations. Comparison to the analytic solutions of a simple proton-proton system gives encouraging results for the application ofthe method to larger systems.