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Classical and quantal Einstein relativistic two-particle systems

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Abstract

We present formalisms for the description of two-particle systems of classical and of quantal Einstein relativistic particles. For each case the presentation follows a standard scheme. We define the phase-space, the observables, and the action of the kinematical symmetry group in the center-of-mass representation. We then discuss some of the elementary features of the description of two-particle systems in order to be able to interpret the objects considered. In particular, we show that the description of the free particles conforms to standard relativistic kinematics. As an application we discuss the system consisting of two charged particles interacting via the Coulomb field.

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  1. Département de Physique Théorique, Université de Genève, 1211, Genève 4, Switzerland

    T. Aaberge

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  1. T. Aaberge
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Aaberge, T. Classical and quantal Einstein relativistic two-particle systems. Int J Theor Phys 22, 723–752 (1983). https://doi.org/10.1007/BF02085959

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  • DOI: https://doi.org/10.1007/BF02085959

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