2007/04/28 by T. Beck, Beck, T., M. Mattes +3
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.0704.3810
80 pages and 2 figures
arxiv created 2007/04/28 · openalex publication_date 2007/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The usefulness of the Relativistic Schrödinger Theory (RST) is studied in the field of atomic physics. As a concrete demonstration, the positronium groundstate is considered in great detail; especially the groundstate energy E0 is worked out in the non-relativistic approximation and under neglection of the magnetic interactions between the positron and the electron. The corresponding RST prediction (E0≃ -6,48 [eV]) misses the analogous conventional Schrödinger result (E0≃ -6,80 [eV]) but is closer to the latter than the corresponding Hartree approximation (-2,65 [eV]). The missing binding energy of 6,80-6,48=0,32 [eV] can be attributed to the approximative use of an SO(3) symmetric interaction potential which in RST, however, is actually only SO(2) invariant against rotations around the z-axis. It is expected that, with the correct use of an anisotropic interaction potential due to the SO(2) symmetry, the RST predictions will come even closer to the conventional Schrödinger result, where however the mathematical structure of RST relies on exotic (i.e. double-valued) wave functions and on the corresponding unconventional interaction potentials (e.g. Struve-Neumann potential).