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On a Three‐Body Problem in Relativistic Quantum Mechanics
Author(s) -
Lev F. M.
Publication year - 1983
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190310202
Subject(s) - spins , mathematics , operator theory , theoretical physics , relativistic quantum mechanics , packing problems , physics , classical mechanics , algebra over a field , pure mathematics , quantum mechanics , quantum , mathematical optimization , quantum dynamics , condensed matter physics
Abstract Proceeding from the method of packing operators developed by Sokolov and from the “light front variables” technique, the explicit formulae for packing operators and auxiliary mass operators for a system of three particles with arbitrary spins are derived. It is shown that for the packing operators there exists an infinite number of solutions yielding different physical consequences. The problem of the theory substantiation is discussed; the arguments in favour of a certain choice of packing operators are produced.