Abstract
AbstractIt is well known that the analysis of a relativistic n-body problem invariant under the transformations of the Poincaré group and involving one time has only been done for n=1. For n>1 one uses the second quantization formalism of field theory. In this paper we state it in the ordinary space time coordinates associated with the n-bodies as Dirac did it in the one body case. We apply the formalism first to the two body problem if the interaction is of an harmonic oscillator form and then extend it to n particles.KeywordsHarmonic OscillatorBody ProblemBody CaseQuantization FormalismOscillator Wave FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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