Abstract:
Dirac's problem of a Hamiltonian relativistic description of directly interacting particles is formulated as the problem of adding (combining) primary interactions given in the form of Lorentz-invariant Hermitian operators. For the case of three particles (with spins 0 and 1/2 ) the general solution to the problem in the framework of the point form of dynamics is found.
Citation:
S. N. Sokolov, “Relativistic addition of direct interactions in the point form of dynamics”, TMF, 36:2 (1978), 193–207; Theoret. and Math. Phys., 36:2 (1978), 682–692
\Bibitem{Sok78}
\by S.~N.~Sokolov
\paper Relativistic addition of direct interactions in the point form of dynamics
\jour TMF
\yr 1978
\vol 36
\issue 2
\pages 193--207
\mathnet{http://mi.mathnet.ru/tmf4300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=507844}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 36
\issue 2
\pages 682--692
\crossref{https://doi.org/10.1007/BF01036481}
Linking options:
https://www.mathnet.ru/eng/tmf4300
https://www.mathnet.ru/eng/tmf/v36/i2/p193
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