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  1.  75
    Quantum Entanglement in Relativistic Three-Particle Systems.P. Schust, M. Mattes & M. Sorg - 2004 - Foundations of Physics 34 (1):99-167.
  2.  52
    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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  3.  58
    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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  4.  24
    Exchange Degeneracy of Relativistic Two-Particle Quantum States.S. Rupp, S. Hunzinger & M. Sorg - 2002 - Foundations of Physics 32 (5):705-750.
    The phenomenon of exchange degeneracy of 2-particle quantum states is studied in detail within the framework of Relativistic Schrödinger Theory (RST). In conventional quantum theory this kind of degeneracy refers to the circumstance that, under neglection of the interparticle interactions, symmetric and anti-symmetric 2-particle states have identical energy eigenvalues. However the analogous effect of RST degeneracy is rather related to the emergence of two types of mixtures (positive and negative) in connection with the vanishing or non-vanishing of certain components of (...)
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  5.  21
    Relativistic Schrödinger Theory and the Hartree–Fock Approach.M. Verschl & M. Sorg - 2003 - Foundations of Physics 33 (6):913-954.
    Within the framework of Relativistic Schrödinger Theory (RST), the scalar two-particle systems with electromagnetic interactions are treated on the basis of a non-Abelian gauge group U(2) which is broken down to the Abelian subgroup U(1)×U(1). In order that the RST dynamics be consistent with the (non-Abelian) Maxwell equations, there arises a compatibility condition which yields cross relationships for the links between the field strengths and currents of both particles such that self-interactions are eliminated. In the non-relativistic limit, the RST dynamics (...)
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  6.  16
    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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