On the classical and quantum Coulomb scattering

被引：15
|
作者：
Yafaev, D
机构：
[1] Department of Mathematics, University of Rennes, Campus Beaulieu, 35042, Rennes
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 19期
关键词：
D O I：
10.1088/0305-4470/30/19/032
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop the scattering theory for the Schrodinger operator with the Coulomb potential in the space of an arbitrary dimension d. In particular, we calculate the scattering matrix and show that its spectrum covers the whole unit circle. We also compute the differential cross section and show that it coincides with the classical Coulomb scattering cross section in the dimension d = 3 only.
引用
收藏
页码：6981 / 6992
页数：12
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