数学范例:墨西哥帽势能 在最简单的理想相对论性模型里,自发对称性破缺可以由标量场理论(scalar field theory) 来概述。理论而言,自发对称破缺一般是从拉格朗日量来探讨。
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被动标量场的统计性质,在湍流理论以及湍流燃烧、污染物防治等工程领域都有非常重要的意义。
The passive scalar statistics are important in turbulence theories and engineering problems related to turbulent combustion, pollutant diffusion and others.
根据光波导理论,推算出弱导条件下光沿光纤传输场的标量近似解,给出场的各分量表达式,以便分析讨论。
Using wave guide theory, we deduce scalar approximate solution about transmissive light through a fiber weak-guide and give the expressions of field in each component.
本文给出了平场输入和输出edg的设计方法,并利用标量衍射理论对设计的结果进行模拟,验证了平场输出EDG具有很好的分波效果。
The scalar diffraction theory is used to verify the design and the numerical results show that the designed EDG has a good performance.
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