| 四维闵氏真空中自由无质量标量场平方的概率分布 |
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| 引用本文： | 詹辰晨.四维闵氏真空中自由无质量标量场平方的概率分布[J].北京师范大学学报(自然科学版),2017,53(6):650-655. |
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| 作者姓名： | 詹辰晨 |
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| 作者单位： | 北京大学物理学院技术物理系,核物理与核技术国家重点实验室,100871,北京 |
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| 基金项目： | 国土资源部公益性行业科研专项资助项目(sino-probe0903) |
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| 摘 要： | 以洛伦兹平方函数为采样函数,对四维闵氏真空中的标量场平方φ2在采样涂抹后进行了矩的计算,发现其概率分布近似为Γ分布,从而用一个不同的采样测试函数类型验证了矩方法的可靠性.对该二次量子场而言,发现其单次测量中更可能出现负值,其概率为93%.在此情形中,来自量子能量不等式的约束也同样得到了体现.
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| 关 键 词： | 概率分布 采样函数 矩方法 负能密度 |
Probability distributions of squared free massless scalar field in four-dimensional Minkowski vacuum |
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| Institution: | Department of Technical Physics ,School of Physics ,Peking University ,State Key Laboratory of Nuclear Physics and Technology ,100871 ,Beijing ,China |
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| Abstract: | The moments for smeared squared free massless field φ2 in four-dimensional Minkowski vacuum were calculated and the probability distributions was found to be an approximate Γ distribution,thus the moment method was confirmed with a different type of sampling function.For this quadratic quantum field,it is more likely to find a negative value with a probability of 93 ％ in individual measurements.The bound from quantum energy inequalities was also found in this special case. |
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| Keywords: | probability distributions sampling function moment method negative energy density |
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