This chapter concerns a presentation of the Darwin solutions of the Dirac equation, in the Hestenes form of this equation, for the central potential problem. The passage from this presentation to that of complex spinor is entirely explicited. The nonrelativistic Pauli and Schr¨odinger theories are deduced as approximations of the Dirac theory.
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). The Solutions of the Dirac Equation for the Central Potential in the Real Formalism. In: Relativistic Transitions in the Hydrogenic Atoms. Springer Series on Atomic, Optical, and Plasma Physics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85550-7_4
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DOI: https://doi.org/10.1007/978-3-540-85550-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85549-1
Online ISBN: 978-3-540-85550-7
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