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This would require that the number of effective degrees of freedom in quantum gravity can be reduced by a large gauge transformation; more evidence for a peculiar hidden symmetry in quantum gravity.

这将需要一些有效的自由度在量子引力可减少了大型针式转变；更多证据的特殊隐藏对称性量子引力。

At the end of this chapter a concrete calculation example of Gauge transformation is given.In chapter 2 of this paper, two example applying gauge transformation for Quantum Geometric Phase in adiabatic condition are given, with explicit calculation process .The two examples is similar in objects to calculate, they are two state quantum system expressed in sphere coordination.

第二章主要讲了两个利用含时规范变换求解绝热近似下的几何相的例子，给出比较具体的计算步骤，它们有一个共同特点就是计算的对象都是二态体系，计算时采用的都是球坐标系，计算的都是只有两个量子态的纯粹的量子系统。

Then the momentum P in the acquired motion equation is replaced by quantum operator, thus we obtain Schrodinger equation for charged particle moving in magnetic fields in Quantum Mechanics. Then we discuss the Gauge transformation and gauge invariance of Schrodinger equation, following which the Dirac phase is introduced.

然后把经典力学中的哈密顿量量子化，得到量子化的带电粒子在磁场中运动的薛定谔方程，之后是薛定谔方程的规范变换和规范不变性，并引入Dirac不可积相因子的概念。

After descibing the concepts, definitionsand operation approaches of quantum group and SLq(2) Lie algebra, the physicalmeaning of quantum group particles is explained in the present thesis. The gaugeinvariance in SLq(2) gauge field and its thermodynamics model is considered basedon the idea of q-deformation. The zero energy gap equation and q-deformed energygap equation are derived under the assumption of q-quantization and semi-classical q-quantization, then the zero-temperature energy gap A(0,q) and crititical temperature〓 can be calculated from the q-energy gap equation.

在介绍了量子群和SLq(2)李代数的基本概念，定义和运算方法后，文中进一步阐述了量子群粒子的物理意义；在q变形思想基础上，本文研究了SLq(2)规范场及其热力学模型中的规范不变性质，并在q量子化和半经典q量子化的假设下导出了零能隙方程和q变形能隙方程；然后从q能隙方程计算了与零温度能隙△(0，q)和临界温度〓。

Quantum Beacons After the incident with the suliban at the Peragon colony, the Enterprise installed 2 quantum beacons on the grappler arms to detect cloaked ships, especially suliban cell ships ("Shockwave").

运输 进取号的船员最常用穿梭机在飞船与星球、其他飞船或空间站之间运输人员、补给品等。

The thesis analyzes the quantum properties of the soliton combining the analytic and numerical method. It includes the following several parts (the bold parts are creative work): 1. We obtained the quantum field equation of optical soliton in the lossy fiber by means of heat reservoir theory.

本论文采用解析与数值模拟相结合的方法来分析孤子的量子特性，主要内容包括以下几个方面（黑体部分属于创新性的工作）： 1、用热库理论得到了考虑光纤损耗的光孤子传输的量子场方程。

This thesis is based on former studies made by our team. Combining with practical conditions, the thesis selects proper basis sets. Applicable and credible quantum chemical calculation methods were adopted to calculate structural optimization, net atomic charge, orbit energy, etc. for a series of compounds against parasite fasciola hepatica according to quantum chemistry theory.

本论文在课题组以前的研究工作基础上，选取应用性好、可靠性强的量子化学计算方法，并结合实际情况选择合适的基组，从量子化学理论角度出发，对于合成的抗肝片吸虫系列化合物进行了结构优化、原子净电荷、前线轨道分布等量化计算。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

The grey scale of the pixels in image is expressed by quantum bit and the relation between two pixels is described by means of the superposition of two quantum bit in this paper.Based on this,the average of linear hermitian operator in this superposition can be used for judging the edge of image and a new method for edge detection of image is so created.The rationality of the method is interpreted by probability theory here.

利用量子比特表示图像像素的灰度，用双量子位叠加态来描述两像素之间的关联，通过线性厄米算符在该量子叠加态中的平均值来判断像素的边缘特征，由此建立了一种新的图像边缘检测方法，并从概率论的角度对该方法的合理性给予解释。

This has just reached ouraim of establishing a quantum theory of potential scattering inphase space in the sense of the pure quantum mechanics.

这恰好就达到了我们在纯量子力学意义上建立相空间势散射理论的目的。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。