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Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

Relativistic wave equations for a system of two particles with spin 1/2

Ph. Droz-Vincent

Published Mar 1, 1981• 10 citations
Publisher
DOI
10.1007/bf02817091

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A definition is given of the barycentric wave for a system of n particles in the functional theory, in the relativistic case, and in the non- relativistic case with spin and isospin or without spin. The equation for the barycentric wave in the relativistic case and in the non-relativistic case is derived. The case of particles of the same mass is considered. Motion around the barycenter is discussed, and equations for the relative motion are obtained. The particular case of a two-particle system is considered. (auth)
A study is made of a system of two particles with spin in relativistic functional theory. Equation of the barycentric wave, equations of the relative motion, and the reduced equation are obtained. In the states of the system, in some cases there exist states where the relative waves are constants. This case corresponds to vanishing relative motion. In the case of two particles of spin 1/ 2 of the same mass, a fused system is obtained which is equivalent to a particle with spin 1. From this result, by the approximation giving the usual wave mechanics, the equations given by the fusion method are obtained. The fusion method is thus justified and its physical significance is apparent. (auth.)
RELATIVISTIC WAVE EQUATION FOR SPIN-sup1sup 1sup1/sub2sub 2sub2 PARTICLE.