IMPROVEMENT ON THE WKB METHOD USING AN ALGEBRAIC FORMALISM

被引:4
作者
SAUTER, EG
机构
[1] Institut fur Hochfrequenztechnik und Quantenelektronik, Universitat Karlsruhe, 75
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 08期
关键词
D O I
10.1088/0305-4470/12/8/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The equation d2u/dt2+w2(t)u=0 can be transformed to a system of two first-order differential equations dy/dt=My by different ways of parametrisation. The method of decoupled exponents of Wei and Norman (1964) yields a Riccati differential equation for the unknown exponents and an easily interpretable solution y. A solution with vanishing exponents in the parametrisation of Mulholland (1973) corresponds exactly to the WKB method. Therefore an approximate solution of the Riccati differential equation gives an improvement on the WKB.
引用
收藏
页码:1155 / 1164
页数:10
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