Helicity Basis and Parity

Abstract

We study the theory of the (1/2,0)+(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.

arXiv comment11pp. ReVTeX file. Presented at the Plebanski Conference ``Topics in Mathematical Physics, General Relativity and Cosmology", September 17-20, 2002, CINVESTAV, D. F., Mexico and the Jornadas de Investigacion UAZ-2002, Zacatecas, Oct. 8-11, 2002

References in corpus (6)

• Theory of Neutral Particles: Mclennan-Case Construct for Neutrino, Its Generalization, and a New Wave Equation
• A Bargmann-Wightman-Wigner Type Quantum Field Theory
• Generalizations of the Dirac Equation and the Modified Bargmann-Wigner Formalism
• Questions in the Theory of the (1,0)+(0,1) Quantized Fields
• Different Quantum Field Constructs in the $(1/2,0)\oplus (0,1/2)$ Representation
• Photon-Notoph Equations

Cited by in corpus (6)

• The Construction of Quantum Field Operators: Something of Interest
• Majorana Neutrino: Chirality and Helicity
• P, C and T: Different Properties on the Kinematical Level
• Antisymmetric Tensor Fields, 4-Potentials and Indefinite Metrics
• Incompatibility of the Dirac-like Field Operators with the Majorana Anzatzen
• Weyl and Majorana for Neutral Particles