PERTURBATIONS INTO HIGH-ORDER WKB SCHEMES FOR SOLVING ONE-DIMENSIONAL QUANTUM-MECHANICAL MODELS

被引：1

作者：

GERVAIS, HP ^{[1
]}

BERTHIER, G ^{[1
]}

机构：

[1] ECOLE NORMALE SUPER, F-75231 PARIS 05, FRANCE

来源：

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM | 1995年 / 330卷

关键词：

D O I：

10.1016/0166-1280(94)03817-5

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The WKB approximation in its standard form or in its supersymmetric form (SWKB) has been modified in such a way that effects of an external perturbation upsilon can be taken into account. Perturbation corrections are explicitly written down up to the second order in ($) over bar h and the third order in upsilon, high-order terms can be determined by the same procedure. This method is particularly attractive in the case of a shape-invariant unperturbed potential, where all the unperturbed terms of order n > 0 are vanishing. The potentials V = x(4) + x(2) and V = x(6) + 3x(2) are given as examples.

引用

页码：49 / 55

页数：7

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