Lower Bounds on Negative Energy Densities for the Scalar Field in Flat Spacetime  

作　　者：舒维星 余洪伟 任中洲 吴普训 李飞 

机构地区：[1]Department of Physics, Nanjing University, Nanjing 210093 [2]Department of Physics, Hunan Normal University, Changsha 410081

出　　处：《Chinese Physics Letters》2006年第1期25-28,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10375023, 10575035 and 10125521, the Program for NCET （No 04-0784）, the Key Project of Chinese Ministry of Education （No 205110）, and the National Major State Basic Research and Development Programme of China （G2000077400）.

摘　　要：We obtain a lower bound on the spacetime-weighted average of the energy density for the scalar field in four-dimensional flat spacetime. The bound takes the form of a quantum inequality. The inequality does not rely on the quantum state and its form is only related to the weights, namely the spacetime sampling functions which are assumed to be smooth, positive and compactly supported. It is found that the inequality is just equal to the temporal quantum energy inequality. When the characteristic length of the temporal sampling function tends to zero, the lower bound becomes divergent. This is consistent with the fact that the spatial restriction on negative energy density does not exist in four-dimensional spacetime.We obtain a lower bound on the spacetime-weighted average of the energy density for the scalar field in four-dimensional flat spacetime. The bound takes the form of a quantum inequality. The inequality does not rely on the quantum state and its form is only related to the weights, namely the spacetime sampling functions which are assumed to be smooth, positive and compactly supported. It is found that the inequality is just equal to the temporal quantum energy inequality. When the characteristic length of the temporal sampling function tends to zero, the lower bound becomes divergent. This is consistent with the fact that the spatial restriction on negative energy density does not exist in four-dimensional spacetime.

关 键 词：QUANTUM INEQUALITIES BLACK-HOLES DIRAC FIELD WARP DRIVE STATES TIME 

分 类 号：P14[天文地球—天体物理]