Retrieving the missed particle-antiparticle degrees of freedom of Dirac particles

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The missed particle-antiparticle degrees of freedom are retrieved and the corresponding particle-antiparticle intrinsic space are introduced to study the dynamical symmetry of the Dirac particle. As a result, the particle-antiparticle quantum number appears naturally and the Dirac particle has five quantum numbers instead of four. An anti-symmetry (different from the conventional symmetry) of the Dirac Hamiltonian and a dual symmetry of its eigenfunctions are explored. The $\hatκ$ operator of the Dirac equation in central potentials is found to be the analog of the helicity operator of the free particle--the alignment of the spin along the angular momentum.
RevTeX4, 5 pages; Part of the results was presented on the 12th National Conference on Nuclear Physics of China in April 2004

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High Energy Physics - Theory, High Energy Physics - Phenomenology

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http://salesiana.dossiersoluciones.com/handle/123456789/53006

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0501250
 http://arxiv.org/abs/hep-th/0501250

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arXiv