A study of the electromagnetic interaction given by relativistic spin-1 wave equations in elastic scattering of polarized spin-1 nuclei or mesons

International Journal of Theoretical Physics

2004

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.Comment: 11pp. 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, 200

mentioning

confidence: 95%

Helicity Basis and Parity

International Journal of Theoretical Physics

2004

“…They are the eigenvectors of the parity operator: PU/J,(-P, a) = +w M (P' a )' Pu n(-P' °t) = -w M (p, 0 t ) • (59)Tfte Helicity Basis 17. ' 31 The helicity operator is:…”

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confidence: 99%

4-Vector Fields and Indefinite Metrics

2006

Int. J. Mod. Phys. B

“…For instance, in Ref. [12,23] the momentum-space polarization vectors have been listed in the helicity basis:…”

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confidence: 99%

“…• The 4-potentials and electromagnetic fields [12,23] in the helicity basis have different parity properties comparing with the standard basis of the polarization vectors.…”

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confidence: 99%

The Bargmann-Wigner formalism for spin 2 fields

2000

AACA

Abstract. The Bargmann-Wigner formalism has been applied to describe the spin-2 field in terms of the symmetric fourth-rank multi-Dirac spinor ~~~~~. A serious problem of the standard anzatz is that the resulting equation of motion has the trivial solution with all field components being independently equal to zero. We here show that this problem is an artefact of the neglection of terms containing the matrix "/~ in the decomposition of 9 into the Clifford algebra basis. We further emphasize importance o[ the gauge 4-vector field in that respect.