此问题描述BCS配对。利用泛函积分表象来建立平均场理论是十分方便的。
This problem describes BCS pairing. It is very convenient to construct the mean field theory using the functional integral representation.
几何和量子场论课程是用泛函积分的语言对微扰量子场论的严谨的介绍，主要针对数学家设计。
Geometry and quantum field theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.
当界面非完美时，复合材料的能量泛函必须计入非完美界面效应，该效应以界面积分项形式出现。
When interface is imperfect, its effect on energy functional of composite with it, which emerges in form of interface integral items, must be calculated.
研究了半马氏过程的一维分布，构造及积分型随机泛函。
We study the one-dimensional distribution, integral type random functional and construction of the semi Markov processes.
运用泛函分析和积分方程理论，证明了系统解的存在性与唯一性，得到系统解的解析表达式。
Applying the theory of integral equation and functional analysis, we prove the existence and uniqueness of the system solution to the equation, and get the analytical expression of the solution.
本文把复变函数的围道积分应用于泛函分析，对一般的线性闭算子得到了算子值函数的中值定理。
In this paper, the author USES the contour integral in analytic function to functional analysis, and obtains the mean value theorem of operator-valued functions.
泛函分析和算子代数；量子化方法和路径积分；变分技术。
Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques.
在计算上可利用路径积分技术来处理海夸克的贡献，我们导出了纯胶子（物理胶子）生成泛函，为胶子球物理的研究提供了理论基础。
With the contribution of sea quarks, the generating functional of pure gluons is derived, which providing the theoretical basis for gluon-ball studies.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
根据裂纹扩展时能量泛函的驻值条件，建立了任意元素的围道积分定理。
Based on the stationary condition of energy functional, we set up the integral theorem along the boundary of arbitrary element and get the energy release quantity with the integral theorem.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
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