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Symmetries of the Relativistic Two-Boson System in External Field

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Abstract

We investigate the survival of symmetries in a relativistic system of two mutually interacting bosons coupled with an external field, when this field is “strongly” translation invariant in some directions and additionally remains unchanged by other isometries of spacetime. Since the relativistic interactions cannot be composed additively, it is not a priori garanteed that the two-body system inherits all the symmetries of the external potential. However, using an ansatz which permits to preserve the compatibility of the mass-shell constraints in the presence of the field, we show how the “surviving isometries” can actually be implemented in the two-body wave equations.

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  1. Observatoire de Paris, CNRS, Université Paris Diderot, 5 place Jules Janssen, 92195, Meudon, France

    Philippe Droz-Vincent

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  1. Philippe Droz-Vincent
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Correspondence to Philippe Droz-Vincent.

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Droz-Vincent, P. Symmetries of the Relativistic Two-Boson System in External Field. Int J Theor Phys 48, 2177–2189 (2009). https://doi.org/10.1007/s10773-009-9999-8

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  • DOI: https://doi.org/10.1007/s10773-009-9999-8

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