The behavior of some numerical methods in the problem of the tunnel effect with explosive potential

A. Y. Antonov, Ya. I. Rusina
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Abstract

The aim of this research is to study behavior of numerical methods for solving one-dimensional stationary Schr¨odinger equation. Two testing tasks are taken for example: the probability tunneling of the square potential barrier and “hyperbolic” potential barrier. The precision and speed of various methods were evaluated.
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几种数值方法在含爆炸势的隧道效应问题中的表现
本研究的目的是研究求解一维平稳薛定谔方程的数值方法的行为。以两种测试任务为例:方形势垒和“双曲”势垒的概率隧穿。对各种方法的精度和速度进行了评价。
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