Barrier penetration in a discrete basis formalism

K. Hagino

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arXiv · 2311.00925

Barrier penetration in a discrete basis formalism

K. Hagino

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Abstract

A standard way to solve a Schr\"odinger equation is to discreteize the radial coordinates and apply a numerical method for a differential equation, such as the Runge-Kutta method or the Numerov method. Here I employ a discrete basis formalism based on a finite mesh method as a simpler alternative, with which the numerical computation can be easily implemented by ordinary linear algebra operations. I compare the numerical convergence of the Numerov integration method to the finite mesh method for calculating penetrabilities of a one-dimensional potential barrier, and show that the latter approach has better convergence properties.

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K. Hagino. 2023-11-02. Barrier penetration in a discrete basis formalism. https://arxiv.org/abs/2311.00925

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