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
Errors in eigenvalues calculated by the Numerov-Cooley method
โ Scribed by P.G. Guest
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 284 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0010-4655
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โฆ Synopsis
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.
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