WKB and exact wave functions for inverse power-law potentials

被引：28

作者：

Trost, J

Friedrich, H

机构：

[1] Physik Department, TU München

来源：

PHYSICS LETTERS A | 1997年 / 228卷 / 03期

关键词：

modified WKB approximation; reflection phases; singular potentials; scattering phase shifts;

D O I：

10.1016/S0375-9601(97)00115-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compare WKB and exact wave functions for inverse power-law potentials and derive a universal algebraic formula reproducing reflection phases and scattering phase shifts with uniform high accuracy for any wave length. Appropriately modified quantization gives competitive accuracy for the spiked harmonic oscillator. The asymptotic accuracy of WKB wave functions is discussed. (C) 1997 Elsevier Science B.V.

引用

页码：127 / 133

页数：7

共 16 条

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Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] VARIATIONAL AND PERTURBATIVE SCHEMES FOR A SPIKED HARMONIC-OSCILLATOR [J].