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arXiv · 1507.03708

Numerical Solution of the 1D-Schr\"odinger Equation with Pseudo-Delta Barrier Using Numerov Method

S. D. G. Martinz·R. V. Ramos
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Abstract

In this work, aiming to solve numerically the Schr\"odinger equation with a Dirac delta function potential, we use the Numerov method to solve the time independent 1D-Schr\"odinger equation with potentials of the form V(x) + deltap(x), where deltap(x) is a pseudo-delta function, a very high and thin barrier. The numerical results show good agreement with analytical results found in the literature. Furthermore, we show the numerical solutions of a system formed by three delta function potentials inside of an infinite quantum well and the harmonic potential with position dependent mass and a delta barrier in the center.

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S. D. G. Martinz, R. V. Ramos. 2015-07-14. Numerical Solution of the 1D-Schr\"odinger Equation with Pseudo-Delta Barrier Using Numerov Method. https://arxiv.org/abs/1507.03708

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