期刊论文

中文

华中师范大学学报(自然科学版)

1000-1190

1992

04

428-431

10.19603/j.cnki.1000-1190.1992.04.008

本校为第一机构

由WKB方法和玻尔—索莫菲量子化规则,求出了无限深圆筒势阱中粒子能级近似满足的超越方程;然后通过进一步近似找到了粒子能级近似满足的解析式。计算机分析后的结果表明:粒子能级近似值与已有结果的相对误差在4.9%以下。但粒子能级简单解析式的表达在实际应用问题中更有意义。

This paper, using WKB method and Bohr-Sommerfeld quantisition rules; obtained an approximately analytic formula of energe levels of a partical in an infinitely deep cylinder potential well. After processing by computor. We found the resuls of the formula are very close to the popular revults and all errors are below 4.9 percent. But the approximately anal...