Relativistic Approach to the Hydrogen Atom in a Minimal Length Scenario

被引：4

作者：

Francisco, Ronald Oliveira ^{[1
]}

Antonacci Oakes, Thiago Luiz ^{[1
]}

Fabris, Julio Cesar ^{[1
]}

Nogueira, Jose Alexandre ^{[1
]}

机构：

[1] Univ Fed Espirito Santo, Dept Fis, BR-29075910 Vitoria, Brazil

来源：

BRAZILIAN JOURNAL OF PHYSICS | 2014年 / 44卷 / 2-3期

关键词：

Minimal length; Lorentz-covariant algebra; Dirac equation; Hydrogen atom; COVARIANT DEFORMED ALGEBRA; UNCERTAINTY RELATION; DIRAC OSCILLATOR; SPACE;

D O I：

10.1007/s13538-014-0185-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that relativistic contributions to the ground-state energy of the hydrogen atom from a minimal length introduced by a Lorentz-covariant algebra are more important than non-relativistic contributions; the non-relativistic approach is therefore unsuitable. We compare our result with experimental data to estimate an upper bound of the order 10(-20)m for the minimal length.

引用

页码：271 / 277

页数：7

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