Summary
A universal definition is given for irreducible and any-stage-reducible second-class constraints and corresponding modified Dirac brackets. The classical dynamics equations are represented in terms of the modified Dirac brackets and the classical Cauchy problem is shown to be locally nondegenerate. The general and the special solution for theS-matrix is constructed for dynamical systems subject to second-class constraints of any stage of reducbility.
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Batalin, I.A., Fradkin, E.S. Quantization of dynamical systems subject to reducible second-class constraints. Lett. Nuovo Cimento 38, 393–401 (1983). https://doi.org/10.1007/BF02789598
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DOI: https://doi.org/10.1007/BF02789598