Using the path integral approach, we obtain the action of this system.
运用相干态路径积分，我们得到了该系统的作用量。
He has been using a mathematical technique called the "Euclidean path integral".
他一直使用一种数学称为“欧几里德路径不可缺少”的技术。
The path integral quantization is applied to modem physics more and more extensively.
路径积分量子化在近代物理中的应用愈来愈广泛。
The exact analytical equation for the effect AB is worked out by the method path integral.
本文用路径积分方法导出了AB效应的精确解析式。
In order to calculate the coulomb potential scattering, the path integral is investiged in momentum space.
在合理的近似下，通过在动量表象中计算路径积分，较为方便地求出了。
The equation of state of dense hydrogen plasma were calculated by Direct Path Integral Monte Carlo approach.
采用直接蒙特卡洛路径积分方法计算了稠密氢等离子体的物态方程。
The basic principle of the path integral formulation for scalar wave propagation in random media is described.
本文叙述了随机介质中标量波传播的路积分解的基本依据。
A numerical path integral solution method is proposed to calculate the response statistics of the moored vessel.
提出了一个数值路径积分解法来计算该艘船舶的响应统计。
These small episodes have also written to this path integral sum of scenery, calm the hearts of the lake ripples lot of attention.
这些小插曲也为这一路的风景写下不可缺少的一笔，平静的心湖里泛起了涟漪。
The expression of quantum correction of the multidimensional fission rate at finite temperature is obtained by a path integral method.
用路径积分方法得到了有限温度下多维量子裂变速率的表达式。
Finally, the calculations are made on a concrete example to illustrate the application of the path integral in discrete bases to Physics.
最后，就分立基路径积分在物理学中的应用，结合具体实例作了计算和处理。
Two basic methods of solution of the Fokker-Planck equation, i. e. the method of the representation of eigenfunction and that of the path integral, are discussed.
本文讨论了福克-普朗克方程的两种基本解法，即本征函数展开和路径积分方法。
Feynman's path integral is used to analyze quantitatively the Fraunhofer circle aperture diffraction. The quantum eigenstate of circle aperture diffraction is elaborated.
利用费曼路径积分理论，对夫琅和费圆孔衍射的光子衍射态进行定量分析，阐明圆孔衍射的量子本征。
By applying Feynman path integral method, the second virial coefficient of an ideal and of an interaction anyon gas in a magnetic field are calculated directly in the paper.
用费曼路径积分方法直接计算外磁场中理想任意子气体和相互作用任意子气体的第二维里系数。
The path integral Monte Carlo method with a constant pressure ensemble is used to study the equation of state of solid hydrogen with translational and rotational degrees of freedom.
同时考虑分子的平动与转动自由度，用等温等压系综的路径积分蒙特卡罗方法研究了固体氢的状态方程。
Using the path integral method for handling the anomaly problem under the comoving representation, we present a unified scheme for deriving the bononization of fermion fields in (1+1) dimensions.
本文利用随动表象下处理反常问题的路径积分方法，给出（1+1）维空间费米场玻色化的统一推导方案。
That's the integral along minus C3, along the reversed path.
这就是- C3的积分，它沿着相反方向的路径。
I mean if that is your favorite path then that is fine, but it is not very easy to compute the line integral along this, especially since I didn't tell you what the definition is.
如果你喜欢也可以，但是沿着这条路径积分却不好计算，尤其是还没告诉你曲线的定义。
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent.
一个向量场,如果定义在单连通区域并且旋度为零，那么它就是一个梯度场，并且其上的线积分与路径无关。
Or, if you really don't like that line integral, you could close the path by adding some other line integral to it, and then compute using Green's theorem.
如果不喜欢计算线积分，可以通过增加一条线积分让曲线封闭起来，然后就可以用格林公式来计算了。
P1 If we have a curve c, from a point p0 to a point p1 then the line integral for work depends only on the end points and not on the actual path we chose.
如果曲线c，起点为P0，终点为1，那么计算所做功的线积分，只与端点位置有关，而与我们选择的路径无关。
OK, so the claim is if I have a line integral to compute, that it doesn't matter which path I take b as long as it goes from point a to point b.
也就是，如果我需要计算一个线积分，无论我取怎样的路径,只要路径是从点a到点。
OK, so the proof, so just going to prove that the line integral is path independent; the others work the same way.
那么这个证明，只需证出线积分与路径无关的，其它的也是用同样的方法。
We say that the line integral is path independent.
我们称之为线积分与积分路径无关。
Now I have to do the integral over the entire path to get W.
为了得到W现在要做,整个过程的积分。
And then we had to evaluate the line integral for the work done along this path.
然后计算，沿此路径所做的功。
An ordinary definite integral is defined over a line segment, whereas a line integral may use a more general path, such as a parabola or a circle.
普通定义的积分是定义在一段线段上的，而线积分则用更一般的路径，像抛物线或圆。
Aim to establish the path independent integral and its dual form of energy type, and to determine the singularity order of stresses near the crack tip in plane quasicrystals.
目的建立平面准晶中能量型路径守恒积分及其对偶形式，并确定准晶裂纹体裂尖应力奇异性阶数。
It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.
证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
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