路径积分量子化在近代物理中的应用愈来愈广泛。
The path integral quantization is applied to modem physics more and more extensively.
本文用路径积分方法导出了AB效应的精确解析式。
The exact analytical equation for the effect AB is worked out by the method path integral.
运用相干态路径积分，我们得到了该系统的作用量。
Using the path integral approach, we obtain the action of this system.
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.
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。
A numerical path integral solution method is proposed to calculate the response statistics of the moored vessel.
用路径积分定义宇宙量子态的理论可以解释宇宙结构的起源。
The theory that cosmological quantum state can be described by the route integral can explain the origin of the universe.
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。
The expression of quantum correction of the multidimensional fission rate at finite temperature is obtained by a path integral method.
费曼路径积分的变分方法是计算束缚极化子基态能的最有效方法。
The Feynman path-integral variational theory is the best way to compute the ground-state energy of bound polarons.
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 equation of state of dense hydrogen plasma were calculated by Direct Path Integral Monte Carlo approach.
量子力学，统计学，高分子物理和金融市场中的路径积分（第5版）
Path Integrals In Quantum Mechanics, Statistics, Polymer Physics, And Financial Markets (5Th Edition)
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。
In order to calculate the coulomb potential scattering, the path integral is investiged in momentum space.
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。
Finally, the calculations are made on a concrete example to illustrate the application of the path integral in discrete bases to Physics.
如果你感到很困惑的话，可以这么来记，能量是在沿力的方向进行路径积分。
And, if you ever get confused, the way to remember these is that you know energy is the integral of a force moving through a distance.
本文介绍了费曼路径积分的基本概念和方法，并以谐振子为例说明了它的应用。
In this paper the fundamental concepts and methods of the Feynman path integrals are presented. Their applications are explained by harmonic oscillator as an example.
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。
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.
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。
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.
数值模拟的结果表明新的路径积分法对研究船舶非线性横摇运动概率密度分布是十分有效的。
The results indicate that the new path integration method is efficient in the studying the probability distribution of ship nonlinear roll motion from the numerical simulation results.
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。
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.
本文介绍机载对空微波辐射计探测云中路径积分液态水含量（L）的辐射传输原理和反演方法；
The fundamentals and method of deducing path-integrated cloud liquid water content (L)by an airborne up-looking microwave radiometer are introduced in this paper.
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。
Feynman's path integral is used to analyze quantitatively the Fraunhofer circle aperture diffraction. The quantum eigenstate of circle aperture diffraction is elaborated.
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。
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.
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。
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.
通过计算机模拟和波面实际测量，对十字路径积分法、傅里叶变换积分法和区域波前重构法三种主要算法的重建精度进行了对比研究。
The simulation and the experiment results demonstrated the precision of cross path integration techniques, Fourier transform integration and area wave-front reconstruction method.
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.
综述了新兴的量子金融理论在期权定价上的应用，包括量子力学路径积分方法和虚拟套利动态测量理论，以及二项式期权定价的量子模型。
This paper summarizes the study on options pricing in view of quantum finance, such as the path integrals approach, the gauge theory of arbitrage, and the quantum model of binomial option pricing.
综述了新兴的量子金融理论在期权定价上的应用，包括量子力学路径积分方法和虚拟套利动态测量理论， 以及二项式期权定价的量子模型。
The paper expounds the application of real option in the financing decision of startup firms in uncertainty on the theoretical basis of riskneutral pricing approach and binomial model.
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。
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.
这就是- C3的积分，它沿着相反方向的路径。
That's the integral along minus C3, along the reversed path.
我们称之为线积分与积分路径无关。
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。
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.
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