Hydrogen atom in momentum space with a minimal length

被引：57
|
作者：
Bouaziz, Djamil [1 ]
Ferkous, Nourredine [1 ]
机构：
[1] Univ Jijel, Phys Theor Lab, Ouled Aissa 18000, Jijel, Algeria
来源：
PHYSICAL REVIEW A | 2010年 / 82卷 / 02期
关键词：
UNCERTAINTY RELATION; DEFORMED SPACE; LAMB SHIFT; REPRESENTATION; FREQUENCY;
D O I：
10.1103/PhysRevA.82.022105
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation, which leads to a minimal length (Delta X-i)(min) = (h) over bar root 3 beta + beta', is presented. We show that the distance squared operator can be factorized in the case beta' = 2 beta. We analytically solve the s-wave bound-state equation. The leading correction to the energy spectrum caused by the minimal length depends on root beta. An upper bound for the minimal length is found to be about 10(-9) fm.
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页数：4
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