Symmetries of the relativistic two-boson system in external field

Details Symmetries of the relativistic two-boson system in external field Symmetries of the relativistic two-boson system in external field

2008-10-12

arxiv.org/abs/0810.2121v2

Int.J.Theor.Phys.48:2177-2189,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figure

Scientific paper

10.1007/s10773-009-9999-8

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 "surviving isometries" can actually be implemented in the two-body wave equations.

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