✦ LIBER ✦

Comments on the Numerov-Cooley and Hartree-Cooley methods for finding eigenvalues

✍ Scribed by M.J. Jamieson; M.L. Du

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 244 KB
Volume: 64
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(91)90131-4

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✦ Synopsis

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 the rate of convergence. The Ridley correction which also leads to the Hartree-Cooley formula is shown to be of second order.

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