Abstract
In this chapter we begin a study of Dirac’s equation for a single particle in the presence of other particles and fields. This study actually commenced with the derivation of the bound-state energy levels in a fixed Coulomb field, although it was noted that the picture was not yet complete. For example, there are relativistic corrections to the hyperfine structure which can be obtained by accounting for nuclear mass, spin, and magnetic moment. Indeed, it is usually the finite size of the nucleus which is invoked to resolve the large-Z difficulties. Similarly, relativistic corrections to magnetic-field splitting arise in the form of the anomalous Zeeman effect. Many of these correction terms are readily evaluated by straightforward perturbation theory (e.g., Rose, 1961; Berestetskii, et al, 1971), and others will be developed more rigorously in Chapter 8.
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Grandy, W.T. (1991). Further Electromagnetic Interactions. In: Relativistic Quantum Mechanics of Leptons and Fields. Fundamental Theories of Physics, vol 41. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3302-9_5
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DOI: https://doi.org/10.1007/978-94-011-3302-9_5
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