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arXiv · 1507.01870

Relativistic two-boson system in presence of electromagnetic plane waves

Philippe Droz-Vincent
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Abstract

The relativistic two-body problem is considered for spinless particles subject to an external macroscopic electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided the mutual interaction between particles is known), it is possible to write down explicitly a pair of coupled wave equations (corresponding to a pair of mass-shell constraints) which takes into account also the field contribution. These equations are manifestly covariant; constants of the motion are exhibited, so one ends up with a reduced problem involving five degrees of freedom.

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Philippe Droz-Vincent. 2015-07-07. Relativistic two-boson system in presence of electromagnetic plane waves. https://doi.org/10.1007/s10773-016-3040-9

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