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

Shun-Jin Wang·Shan-Gui Zhou·Hans-Christian Pauli
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Abstract

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.

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Shun-Jin Wang, Shan-Gui Zhou, Hans-Christian Pauli. 2005-01-31. Retrieving the missed particle-antiparticle degrees of freedom of Dirac particles. https://arxiv.org/abs/hep-th/0501250

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