Dirac equation with central potential: Discrete spectrum of the hydrogen atom in the Robertson-Walker space-time

被引:4
作者
Zecca, A
机构
[1] Univ Milan, Dipartimento Fis, I-20133 Milan, Italy
[2] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy
关键词
D O I
10.1023/A:1026677523439
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The formulation of the Dirac equation with electromagnetic field for a general space-time is specialized to the Robertson-Walker metric. For a class of physically meaningful electromagnetic potentials the angular part of the wave function separates as in the free-field case. The scheme is explicitly studied for a Coulomb potential. By using a realistic approximation method one recovers the discrete energy levels of the hydrogen atom in Minkowski space. In case of static space-time, the result is exact for zero curvature, while it is approximate for nonzero curvature. The very good order of accuracy of the result is established by a comparison with similar qualitative and perturbative results.
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页码:945 / 954
页数:10
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