Self-Energy and Action Principle in Relativistic Schrödinger Theory

Foundations of Physics 35 (6):1043-1105 (2005)

The mathematical framework of Relativistic Schrödinger Theory (RST) is generalized in order to include the self-interactions of the particles as an integral part of the theory (i.e. in a non-perturbative way). The extended theory admits a Lagrangean formulation where the Noether theorems confirm the existence of the conservation laws for charge and energy–momentum which were originally deduced directly from the dynamical equations. The generalized RST dynamics is applied to the case of some heavy helium-like ions, ranging from germanium (Z=32) to bismuth (Z=83), in order to compute the interaction energy of the two electrons in their ground-state. The present inclusion of the electron self-energies into RST yields a better agreement of the theoretical predictions with the experimental data
Keywords relativistic wave equations  bound states  heavy-ion physics
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DOI 10.1007/s10701-005-5830-4
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Quantum Paradoxes and Physical Reality.Franco Selleri - 1991 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 22 (1):177-182.
Quantum Paradoxes and Physical Reality.Franco Selleri - 1990 - Philosophia Naturalis 27 (1):14-30.

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Ortho- and Para-Helium in Relativistic Schrödinger Theory.F. Stary & M. Sorg - 2006 - Foundations of Physics 36 (9):1325-1403.

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