Magnetic moment effects from time-space non-commutativity in the Dirac equation for Hydrogen atom

被引：0
|
作者：
Zaim, Slimane [1 ]
机构：
[1] Univ Hadj Lakhdar, Fac Sci, Dept Mat Sci, Batna, Algeria
来源：
INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013) | 2013年 / 1557卷
关键词：
non-commutative field theory; Hydrogen atom; Dirac equation; NONCOMMUTATIVE QUANTUM-MECHANICS; STRING THEORY;
D O I：
10.1063/1.4823925
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study the effect of time-space non-commutativity on the hydrogen atom. Our goal is to solve the Dirac equation for the coulomb potential in a non-commutative time-space up to first order in the non-commutativity parameter using the Seiberg-Witten maps and the Moyal product. We thus find the non-commutative modification of the energy levels of hydrogen atom and show that the non-commutativity is the source of magnetic moment. Comparing the results with experimental values from spectroscopy, we get the bound on non-commutativity parameter at the level of (0.1 TeV)(-2).
引用
收藏
页码：304 / 308
页数：5
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