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.

引用

页码：4585 / 4588

页数：4

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