Flux and scattering into cones for long range and singular potentials

被引:13
作者
Amrein, WO [1 ]
Pearson, DB [1 ]
机构
[1] UNIV HULL,DEPT APPL MATH,KINGSTON HULL HU6 7RX,N HUMBERSIDE,ENGLAND
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 15期
关键词
D O I
10.1088/0305-4470/30/15/022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We prove that the probability of finding a scattered quantum-mechanical particle at large times in a truncated cone is identical with the scattered flux, integrated over time, across a distant spherical surface subtending this cone. The theory applies to potentials with arbitrary local singularities and decaying faster than r(-2/3) at large distances.
引用
收藏
页码:5361 / 5379
页数:19
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