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  1. Self-Energy and Action Principle in Relativistic Schrödinger Theory.P. Schust, F. Stary, M. Mattes & M. Sorg - 2005 - Foundations of Physics 35 (6):1043-1105.
    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 (...)
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  • Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement. [REVIEW]Sinem Binicioǧlu, M. Ali Can, Alexander A. Klyachko & Alexander S. Shumovsky - 2007 - Foundations of Physics 37 (8):1253-1277.
    Using a single spin-1 object as an example, we discuss a recent approach to quantum entanglement. [A.A. Klyachko and A.S. Shumovsky, J. Phys: Conf. Series 36, 87 (2006), E-print quant-ph/0512213]. The key idea of the approach consists in presetting of basic observables in the very definition of quantum system. Specification of basic observables defines the dynamic symmetry of the system. Entangled states of the system are then interpreted as states with maximal amount of uncertainty of all basic observables. The approach (...)
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  • Two- and Three-Particle Systems in Relativistic Schrödinger Theory.T. Beck & M. Sorg - 2007 - Foundations of Physics 37 (7):1093-1147.
    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 (...)
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  • Ortho- and Para-Helium in Relativistic Schrödinger Theory.F. Stary & M. Sorg - 2006 - Foundations of Physics 36 (9):1325-1403.
    The characteristic features of ortho- and para-helium are investigated within the framework of Relativistic Schrödinger Theory (RST). The emphasis lies on the conceptual level, where the geometric and physical properties of both RST field configurations are inspected in detail. From the geometric point of view, the striking feature consists in the splitting of the $\mathfrak{u}(2)$ -valued bundle connection $\mathcal{A}_{\mu}$ into an abelian electromagnetic part (organizing the electromagnetic interactions between the two electrons) and an exchange part, which is responsible for their (...)
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