Two- and Three-Particle Systems in Relativistic Schrödinger Theory |
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Authors: | T. Beck M. Sorg |
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Affiliation: | 1.II. Institut für Theoretische Physik der Universit?t Stuttgart,Stuttgart,Germany |
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Abstract: | The relativistic Schr?dinger theory (RST) for N-fermion systems is further elaborated with respect to three fundamental problems which must emerge in any relativistic theory of quantum matter: (i) emergence/suppression of exchange forces between identical/non-identical particles, (ii) self-interactions, (iii) non-relativistic approximation. These questions are studied in detail for two- and three-particle systems but the results do apply to a general N-particle system. As a concrete demonstration, the singlet and triplet configurations of the positronium groundstate are considered within the RST framework, including a discussion of the corresponding hyperfine splitting. |
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Keywords: | relativistic wave equations solutions of wave equations bound states semiclassical theories and applications matter waves |
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