A uniform asymptotic approximation of the 3D scattering wave function for a non-central Coulomb-like potential

被引：1

作者：

Grama, N. ^{[1
]}

Grama, C. ^{[1
]}

Zamfirescu, I. ^{[1
]}

机构：

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

来源：

EPL | 2015年 / 111卷 / 06期

关键词：

SCHRODINGER-OPERATORS; MECHANICS;

D O I：

10.1209/0295-5075/111/60004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A uniform asymptotic approximation of the 3D scattering wave function for a non-central Coulomb-like potential is obtained. It is based on a new Ansatz of the form of the solution that uses an etalon function generated by the problem itself, rather than a special function. First the 3D WKB approximation of the scattering wave function for the non-central Coulomb-like potential is obtained. This approximation is valid on the whole range of the variables, except for the caustics. The uniform approximation eliminates the shortcoming of the 3D WKB approximation, being valid on the whole range of the variables, including the caustics. The scattering amplitude for the non-central Coulomb-like potential is obtained. Copyright (C) EPLA, 2015

引用

页数：6

共 3 条

[1] Uniform asymptotic approximation for 3D quantum scattering by a non-central potential
Grama, N.
Grama, C.
Zamfirescu, I.
EPL, 2016, 115 (06)
[2] A NEW UNIFORM ASYMPTOTIC APPROXIMATION OF 3D SCATTERING WAVE FUNCTION FOR A CENTRAL POTENTIAL
Grama, N.
Grama, C.
Zamfirescu, I.
ROMANIAN JOURNAL OF PHYSICS, 2010, 55 (5-6): : 569 - 584
[3] A uniform asymptotic approximation of the 3D scattering wavefunction for a central potential: a new Ansatz
Grama, N.
Grama, Cornelia
Zamfirescu, I.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (46)

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