NEW TREATMENT OF THE NONCOMMUTATIVE DIRAC EQUATION WITH A COULOMB POTENTIAL

被引：21

作者：

Khodja, Lamine ^{[1
]}

Zaim, Slimane ^{[2
]}

机构：

[1] Univ A Mira de Bejaia, Dept Phys, Phys Theor Lab, Bejaia, Algeria

[2] Univ Hadj Lakhdar, Fac Sci, Dept Mat Sci, Batna, Algeria

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2012年 / 27卷 / 19期

关键词：

Noncommutative field theory; hydrogen atom; Dirac equation; nonrelativistic limits; SPACETIME;

D O I：

10.1142/S0217751X1250100X

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Using the approach of the modified Euler-Lagrange field equation together with the corresponding Seiberg-Witten maps of the dynamical fields, a noncommutative Dirac equation with a Coulomb potential is derived. We then find the noncommutative modification to the energy levels and the possible new transitions. In the nonrelativistic limit a general form of the Hamiltonian of the hydrogen atom is obtained, and we show that the noncommutativity plays the role of spin and magnetic field which gives the hyperfine structure.

引用

页数：13

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