Interacting relativistic particles

Details Interacting relativistic particles Interacting relativistic particles

Sep 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.1887k&link_type=abstract

Physical Review D (Particles and Fields), Volume 18, Issue 6, 15 September 1978, pp.1887-1893

Physics

64

Scientific paper

A manifestly covariant theory of two interacting particles in phase space is presented. Contrary to the implication of the so-called "no-interaction theorem" the coordinates of the particle transform correctly under the Poincaré group. The force law between the particles is quite general. As examples we exhibit explicitly the relativistic generalization of the arbitrary central-force system, such as the simple harmonic oscillator or the Kepler problem. The quantization of these examples is particularly straightforward, and we obtain in closed form the relativistic generalization of their respective spectra. The quantum theory developed is nontrivial, relativistically covariant, and requires neither perturbation theory nor renormalizations.

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