Abstract We examine the energy density produced by a state vector which is the superposition of three single electron states in the Dirac field in the four-dimensional Minkowski spacetime. We derive the conditions on which the energy density can be negative. We then show that the energy density satisfies two quantum inequalities in the ultrarelativistic limit.
Received: 04 September 2003
Revised: 12 May 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10075019 and 10375023).
Cite this article:
Shu Wei-Xing (舒维星), Yu Hong-Wei (余洪伟), Wu Pu-Xun (吴普训) The negative energy density for a three-single-electron state in the Dirac field 2004 Chinese Physics 13 2025
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