Abstract
It is proved that within the two- or three-dimensional formulations of quantum field theory the possibility exists of performing the time description in the whole Hilbert space of the particle and of the antiparticle states respectively. In contrast to the Klein-Gordon field, the present time description of the whole Dirac particle-antiparticle field may be adequately performed only in the one-dimensional case.
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References
Papp, E. (1974).International Journal of Theoretical Physics, Vol. 9, No. 1, p. 101.
Lippmann, B. A. (1966).Physical Review,151, 1023.
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Papp, E. An extended approach to the field-theoretical time operators. Int J Theor Phys 10, 385–389 (1974). https://doi.org/10.1007/BF01807639
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DOI: https://doi.org/10.1007/BF01807639