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The two-body plus potential problem between quantum field theory and relativistic quantum mechanics (two-fermion and fermion-boson cases)

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Il Nuovo Cimento A (1965-1970)

Summary

Starting with a pair of integrodifferential Bethe-Salpeter equations for two fermions interacting mutually and with an external static potential, we obtain a pair of compatible and separable coupled Dirac equations, between which the unwanted relative time variable can be easily eliminated. We use two different adaptations of the method proposed by Sazdjian for the two-particle (without external potential) problem, leading to two different (although equivalent) systems of coupled Dirac equations. We examine the instantaneous approximation and we test our methods in the helium atom problem. The last section is devoted to the fermion-boson plus external potential problem.

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Authors and Affiliations

  1. Theoretische Natuurkunde, Fakulteit der Wetenschappen, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussel, Belgium

    J. Bijebier & J. Broekaert

  2. Vorsers bij het Nationaal Fonds voor Wetenschappelijk Onderzoek, Belgium

    J. Bijebier & J. Broekaert

Authors
  1. J. Bijebier
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  2. J. Broekaert
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Bijebier, J., Broekaert, J. The two-body plus potential problem between quantum field theory and relativistic quantum mechanics (two-fermion and fermion-boson cases). Nuov Cim A 105, 625–640 (1992). https://doi.org/10.1007/BF02730768

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  • DOI: https://doi.org/10.1007/BF02730768

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