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We recast the well-known Numerov method for solving Schrödinger’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 |x| potential.
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Pillai et al. (2012) studied this question.
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