New numerical methods applied to solving the one-dimensional eigenvalue problem
- 1 November 1977
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 67 (9) , 4086-4093
- https://doi.org/10.1063/1.435384
Abstract
Two new numerical methods, the log derivative and the renormalized Numerov, are developed and applied to the calculation of bound‐state solutions of the one‐dimensional Schroedinger equation. They are efficient and stable; no convergence difficulties are encountered with double minimum potentials. A useful interpolation formula for calculating eigenfunctions at nongrid points is also derived. Results of example calculations are presented and discussed.Keywords
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