Abstract.
A relativistic quantum mechanics is studied for bound hadronic systems in the framework of the point form relativistic Hamiltonian dynamics. Negative-energy states are introduced taking into account the restrictions imposed by a correct definition of the Poincaré group generators. We obtain nonpathological, manifestly covariant wave equations that dynamically contain the contributions of the negative-energy states. Auxiliary negative-energy states are also introduced, specially for studying the interactions of the hadronic systems with external probes.
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De Sanctis, M. Covariant Hamiltonian dynamics with negative-energy states. Eur. Phys. J. A 33, 71–86 (2007). https://doi.org/10.1140/epja/i2007-10424-4
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DOI: https://doi.org/10.1140/epja/i2007-10424-4