TWO-DIMENSIONAL COULOMB SCATTERING OF A QUANTUM PARTICLE: LOW-ENERGY ASYMPTOTIC BEHAVIOR

被引：3

作者：

Pupyshev, V. V. ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Dubna, Moscow Oblast, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2016年 / 188卷 / 01期

关键词：

two-dimensional Coulomb scattering; wave function; low-energy asymptotic behavior; HYDROGEN-ATOM; WAVE-FUNCTIONS; 2; DIMENSIONS; ANALYTIC SOLUTION; FIELD;

D O I：

10.1134/S0040577916070047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a charged quantum particle moving in a two-dimensional plane in the three-dimensional coordinate space and scattering on an immovable Coulomb center in the same plane. We derive and investigate expansions of the wave function and of all radial wave functions of the particle in integer powers of the wave number and in Bessel functions of a real order. We prove that finite sums of such expansions are asymptotic in the low-energy limit.

引用

页码：1006 / 1029

页数：24

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