A NEW UNIFORM ASYMPTOTIC APPROXIMATION OF 3D SCATTERING WAVE FUNCTION FOR A CENTRAL POTENTIAL

被引：0

作者：

Grama, N. ^{[1
]}

Grama, C. ^{[1
]}

Zamfirescu, I. ^{[1
]}

机构：

[1] Horia Hulubei Natl Inst Nucl Phys & Engn, RO-077125 Bucharest, Romania

来源：

ROMANIAN JOURNAL OF PHYSICS | 2010年 / 55卷 / 5-6期

关键词：

3D scattering wave function; asymptotic approximation; DIFFERENTIAL EQUATIONS; SCHRODINGER-OPERATORS; PROPAGATION; DIFFRACTION; EXPANSIONS; PLANE;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new uniform asymptotic approximation of the 3D scattering wave function for a central potential is obtained by using an etalon function generated by the problem. The regular reduced radial wave function of zero orbital angular momentum is used as etalon function rather than a standard special function, as used in the Kravtsov-Ludwig uniform approximation. The method is applied to the scattering by a pure Coulomb potential. The obtained uniform asymptotic approximation of the 3D Coulomb scattering wave function has the same expression as the exact solution.

引用

页码：569 / 584

页数：16

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