Ground state of the hydrogen atom via Dirac equation in a minimal-length scenario

被引：22

作者：

Antonacci Oakes, T. L. ^{[1
]}

Francisco, R. O. ^{[1
]}

Fabris, J. C. ^{[1
]}

Nogueira, J. A. ^{[1
]}

机构：

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

来源：

EUROPEAN PHYSICAL JOURNAL C | 2013年 / 73卷 / 07期

关键词：

UNCERTAINTY RELATION; DIMENSIONS;

D O I：

10.1140/epjc/s10052-013-2495-6

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this work we calculate the correction to the ground state energy of the hydrogen atom due to contributions arising from the presence of a minimal length. The minimal-length scenario is introduced by means of modifying the Dirac equation through a deformed Heisenberg algebra (Kempf algebra). With the introduction of the Coulomb potential in the new Dirac energy operator, we calculate the energy shift of the ground state of the hydrogen atom in first order of the parameter related to the minimal length via perturbation theory.

引用

页码：1 / 6

页数：6

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