期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
卷 19, 期 14, 页码 2217-2232出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X04017690
关键词
Dirac equation; central background; anti-de Sitter; quantum modes
It is shown that the free Dirac equation in spherically symmetric static backgrounds of any dimensions can be put in a simple form using a special version of Cartesian gauge in Cartesian coordinates. This is manifestly covariant under the transformations of the isometry group so that the generalized spherical coordinates can be separated in terms of angular spinors like in the flat case, obtaining a pair of radial equations. In this approach the equation of the Dirac free field in AdS(d+1) backgrounds is analytically solved obtaining the formula of the energy levels and the corresponding normalized eigenspinors.
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