Non-Relativistic Positronium Spectrum in Relativistic Schroedinger Theory

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dc.creatorMattes, M.
dc.creatorSorg, M.
dc.date2008-03-15
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:31Z
dc.date.available2026-07-07T09:49:31Z
dc.descriptionThe lowest energy levels of positronium are studied in the non-relativistic approximation within the framework of Relativistic Schrödinger Theory (RST). Since it is very difficult to find the exact solutions of the RST field equations (even in the non-relativistic limit), an approximation scheme is set up on the basis of the hydrogen-like wave functions (i.e. polynomial times exponential). For any approximation order $\NN (\NN=0,1,2,3,...)$ there arises a spectrum of approximate RST solutions with the associated energies, quite similarly to the conventional treatment of positronium in the standard quantum theory (Appendix). For the lowest approximation order $(\NN=0)$ the RST prediction for the \emph{groundstate} energy exactly agrees with the conventional prediction of the standard theory. However for the higher approximation orders $(\NN=1,2,3)$, the corresponding RST prediction differs from the conventional result by (roughly) $0,9 [eV]$ which confirms the previous estimate of the error being due to the use of the spherically symmetric approximation. The excited states require the application of higher-order approximations $(\NN>>3)$ and are therefore not adequately described by the present orders $(\NN\le 3)$.
dc.description67 pages and 3 figures
dc.identifierhttps://arxiv.org/abs/0803.2289
dc.identifierhttp://arxiv.org/abs/0803.2289
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164614
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Relativistic Positronium Spectrum in Relativistic Schroedinger Theory
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