The relativistic Schrödinger 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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Beck, T., Sorg, M. Two- and Three-Particle Systems in Relativistic Schrödinger Theory. Found Phys 37, 1093–1147 (2007). https://doi.org/10.1007/s10701-007-9145-5
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DOI: https://doi.org/10.1007/s10701-007-9145-5
Keywords
- relativistic wave equations
- solutions of wave equations
- bound states
- semiclassical theories and applications
- matter waves