中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2025-2029.doi: 10.1088/1009-1963/13/12/009

• GENERAL • 上一篇    下一篇

The negative energy density for a three-single-electron state in the Dirac field

舒维星, 余洪伟, 吴普训   

  1. Department of Physics and Institute of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2003-09-04 修回日期:2004-05-12 出版日期:2005-03-17 发布日期:2005-03-17
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10075019 and 10375023).

The negative energy density for a three-single-electron state in the Dirac field

Shu Wei-Xing (舒维星), Yu Hong-Wei (余洪伟), Wu Pu-Xun (吴普训)   

  1. Department of Physics and Institute of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2003-09-04 Revised:2004-05-12 Online:2005-03-17 Published:2005-03-17
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10075019 and 10375023).

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摘要： 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.

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.

Key words: negative energy density, energy condition, quantum inequality

中图分类号:  (Quantum fields in curved spacetime)

  • 04.62.+v
04.20.Gz (Spacetime topology, causal structure, spinor structure)