The Woods-Saxon potential in the Dirac equation

被引：76
|
作者：
Kennedy, P [1 ]
机构：
[1] Univ Sussex, Ctr Theoret Phys, Brighton BN1 9QJ, E Sussex, England
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 03期
关键词：
D O I：
10.1088/0305-4470/35/3/314
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The two-component approach to the one-dimensional Dirac equation is applied to the Woods-Saxon potential. The scattering and bound state solutions are derived and the conditions for a transmission resonance (when the transmission coefficient is unity) and supercriticality (when the particle bound state is at E = -m) are then derived. The square potential limit is discussed. The recent result that a finite-range symmetric potential barrier will have a transmission resonance of zero momentum when the corresponding well supports a half-bound state at E = -m is demonstrated.
引用
收藏
页码：689 / 698
页数：10
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