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Review: A word of caution, esp. in light of Alberto's review: There is no consistent "relativistic quantum wave mechanics"; there is only relativistic quantum field theory. Greiner's approach is archaic. Atomic physicists, who generally deal with only nonrelativistic electrons and nuclei, must use quantum field theory for the electromagnetic field. (See any modern book on quantum optics.) It is not just particle physicists who need field theory, and the fact that you can come away thinking otherwise is an unfortunate consequence of Greiner's old-fashioned approach.
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