Weyl-type quantization rules and \(N\)-particle canonical realization of the Poincaré algebra in two-dimensional space-time (Q2711760)

The author considers quantization of the canonical realization of the Poincaré algebra \({\mathfrak p}(1,1)\) corresponding to a \(N\)-particle interacting system in the two-dimensional space-time. The requirement of preservation of the Lie algebra restricts the set of quantization rules but does not by itself remove the ambiguity of the quantization procedure. A partition of the set of quantizations into equivalence classes is proposed. The quantization rules from the same equivalence class give the same mass spectrum, and the same evolution of the quantized system.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].