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Helicity Basis and Parity
Authors:Valeri V Dvoeglazov
Institution:(1) Universidad de Zacatecas, Apartado Postal 636, Suc. UAZ, Zacatecas, 98062 Zac., México
Abstract:We study the theory of the (1/2,0) oplus (0,1/2) representation in helicity basis. Helicity eigenstates are not the parity eigenstates. This is in accordance with the consideration of Berestetskii, Lifshitz, and Pitaevskii. Relations to the Gelfand-Tsetlin-Sokolik-type quantum field theory are discussed. Finally, a new form of the parity operator is proposed. It commutes with the Hamiltonian.
Keywords:helicity basis  parity  Gelfand–  Tsetlin–  Sokolik-type quantum field theory  Lorentz group representations
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