Regularization of the WKB integrals

被引：10

作者：

Dobrovolsky, GA ^{[1
]}

Tutik, RS ^{[1
]}

机构：

[1] Dnepropetrovsk State Univ, Dept Phys, UA-49050 Dnepropetrovsk, Ukraine

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 37期

关键词：

D O I：

10.1088/0305-4470/33/37/311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple general method of regularization of the higher-order Wentzel-Kramers-Brillouin (WKB) integrals for the bound state problem of the one-dimensional Schrodinger equation with a real-analytic potential is proposed. The method is based upon the explicit separation of the integrand singularities. As an example, a contribution of the higher-order WKB corrections to the energy eigenvalues for the quasi-exactly solvable potential, V (x) = 10x(2) +10x(4) +x(6), is considered.

引用

页码：6593 / 6599

页数：7

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