Abstract
This paper presents a review of the theory of positronium. Calculations of positronium (1) decay rates, (2) energy levels, and (3) external field behavior are discussed. In addition, recent theoretical developments and the test of charge conjugation invariance in quantum electrodynamics are reviewed. Theoretical results are compared with the latest experimental results. The coverage is substantially complete from the pre-experimental years (1930 to 1950) to the present (1975). Emphasis is placed on stating final theoretical results and giving references to the original literature; however, considerable detail is given for specific calculations which display the general calculational techniques used in the theory of positronium. Appendices on (1) relativistic quantum mechanics, (2) quantum electrodynamics and (3) the bound-state equations describing positronium are included to make the paper useful to a wide class of readers.
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