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The two-body plus potential problem between quantum field theory and relativistic quantum mechanics (spinless case)

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Il Nuovo Cimento A (1971-1996)

Summary

Starting with a pair of integrodifferential Bethe-Salpeter equations for two spinless particles interacting mutually and with an external static potential, we obtain a pair of compatible and separable coupled Klein-Gordon equations, between which the unwanted relative time variable can be easily eliminated. The method we use is a generalization of that proposed by Sazdijan for the two-particle problem, and the resulting equations are a generalization of the well-known Droz-Vincent-Todorov-Komar equations of relativistic quantum mechanics. We examine the instantaneous approximation and we test our methods in a simple case (Bethe-Salpeter kernel given by a single scalar particle exchange graph).

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Authors and Affiliations

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

    J. Bijtebier & J. Broekaert

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

    J. Bijtebier & J. Broekaert

Authors
  1. J. Bijtebier
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  2. J. Broekaert
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Bijtebier, J., Broekaert, J. The two-body plus potential problem between quantum field theory and relativistic quantum mechanics (spinless case). Nuov Cim A 105, 351–369 (1992). https://doi.org/10.1007/BF02730640

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  • DOI: https://doi.org/10.1007/BF02730640

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