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Matrix Numerov method for solving Schrödinger’s equation

Mohandas Pillai
Joshua Goglio
Thad G. Walker
Journal / Anthology

American Journal of Physics
Year: 2012
Volume: 80
Issue: 1017

We recast the well-known Numerov method for solving Schr€odinger’s equation into a representation of the kinetic energy operator on a discrete lattice. With just a few lines of code in a high-level programming environment such as MATHEMATICA, it is simple to calculate and plot accurate eigenvalues and eigenvectors for a variety of potential problems. We illustrate the method by calculating high-accuracy solutions for the jxj potential.

*Science > Physics