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Negative energy densities in the Dirac field produced by state vectors thatare the superposition of two single particle electron states are examined. Ishow that for such states the energy density of the field is not bounded frombelow and that the quantum inequalities derived for scalar fields aresatisfied. I also show that it is not possible to produce negative energydensities in a scalar field using state vectors that are arbitrarysuperpositions of single particle states.Comment: 11 pages, LaTe

Negative energy density states for the Dirac field in flat spacetime