Short-range interaction in three-dimensional quantum mechanics

被引：0
|
作者：
Cheon, Taksu [1 ]
机构：
[1] Kochi Univ Technol, Phys Lab, Kochi 7828502, Japan
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 45期
关键词：
Schrodinger operator; Singular vertex; Non-spherical scattering;
D O I：
10.1016/j.physleta.2010.09.040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that it is possible to define shape-independent three-dimensional short-range quantum interactions in two-parameter form for non-spherical angular momentum channels through double rescaling of potential strength. Unlike the special case of l = 0, where the zero-range limit of the system is renormalizable, the effective ranges diverge for l not equal 0 channels, and the system becomes trivial at zero-size limit. It is also shown that the two-parameter representation with finite interaction range is useful in analyzing phase shifts and describing resonances with accuracy in non-spherical scatterings. (C) 2010 Elsevier B.V. All rights reserved.
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页码：4585 / 4588
页数：4
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