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. Applicati
A variable-step algorithm for computing eigenvalues of the radial Schrödinger equation
✍ Scribed by T. E. Simos; G. Tougelidis
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 599 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
A variable-step method has been developed for the numerical solution of the eigenvalue Schrodinger equation. The eigenvalues are computed directly as roots of a function known in transmission line theory as the impedance. The novel numerical algorithm is based also on the piecewise perturbation analysis. The new variable-step method is based on two methods, one with first-order perturbative corrections and the other with second-order perturbative corrections.
📜 SIMILAR VOLUMES
A recently developed method for calculation of eigenvalues is applied to a four coupled oscillator system previously used to test more approximate methods. Analysis is presented to show how the present method scales for systems of two, three, and four coupled oscillator systems.