✦ LIBER ✦

New Numerov-type methods for computing eigenvalues, resonances, and phase shifts of the radial Schrödinger equation

✍ Scribed by T. E. Simos

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 154 KB
Volume: 62
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1997)62:5<467::aid-qua3>3.0.co;2-u

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✦ Synopsis

A new family of P-stable two-step Numerov-type methods with minimal phase lag are developed for the numerical integration of the eigenvalue-resonance and phase shift problem of the one-dimensional Schrodinger equation. A new embedding ẗechnique to control the phase-lag error is introduced. Application to various potentials indicates that these new methods are generally more accurate than other previously developed finite-difference methods.