The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
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DOI：
10.1103/physrev.41.713
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发表时间：
1932-09
期刊：
影响因子：
--
通讯作者：
J. L. Dunham
中科院分区：
文献类型：
--
作者：
J. L. Dunham
一个更一般的治疗比已提供的文策尔布里渊-克拉默斯方法解决薛定谔方程的一个自由度给出。文策尔的原始能级条件是一个渐近表达式，适用于大质量和大值的量子数。讨论了这种方法和Young方法之间的联系。最后，将公式写成便于应用于从实际势函数计算能级的形式。
A more general treatment than has been available of the Wentzel-Brillouin-Kramers method of solving Schrödinger's equation for one degree of freedom is given. Wentzel's original energy-level condition is shown to be an asymptotic expression, good for large masses and large values of the quantum number. The connection between this method and that of Young is discussed. Finally the formulas are written in a form convenient for application to the calculation of energy levels from actual potential functions.