量子化

the quantization of photon exprees the process of the quatization producing, energy was quantizated by studing black body radiation, that studies two experiments about the quantization of photon: photoelectric effect and compton effect.

光的量子性阐述了量子性产生的过程，通过对黑体辐射的研究把能量量子化，从而研究了光量子性的两个实验：光电效应和康普顿效应。

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〓。

The common method of finding normal coordinate for the multidimensional linear microvibration;2. Then,it introduces the normal coordinate and its operator.

文章首先通过研究做简谐振动的简谐振子提出了量子化模型，然后引入简正坐标，使其简正坐标算符化，最后得到晶格振动的量子化。

The quantum deformation of a Lie algebra is obtained by adding one parameter q,which is reduced to the original Lie algebra when taking the limit q→1;some properties of the original Lie algebra remain.

在Hopf代数或量子群理论中，构造李双代数的量子化是产生新的量子群的一个十分重要方法，研究李双代数的重要目的之一就是对其量子化。

For one-dimensional mesoscopic metal rings system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current, the property of quantum current have been investigated and analysed.

针对处于外磁场中的一维介观环系统，假设在电荷空间中具有变换的对称性，通过求解电流算符的本征值方程，给出系统中的量子电流关系，分析和研究一维介观金属环中量子电流的性质。结果表明，量子电流不仅与外磁场、介观金属环参数有关，而且还明显地依赖于电荷的量子化性质

Starting from the classical motion equation of a domain wall in the ferromagnetic system, the analytic wavefunction was obtained by using canonical quantization method and unitary transformation .

从铁磁畴的能量方程出发，利用正则量子化方法和么正变换技术，解析地求得了磁畴量子化运动的波函数。

It is found that for a properly chosen zeroth order Hamiltonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision.

本论文主要进行了如下工作：运用绝热定理的方法研究耦合系统混沌态的半经典量子化，发现对于合适选择的零级哈密顿量，经典混沌态和规则态的量子化结果，在绝热近似下有相同的精度。

In the following, we quantize the supersymmetric anyon system according to the rule of path integral quantization for constrained Hamiltonian system in Faddeev-Senjanovic scheme. We calculate the quantal conserved angular momentum based on the quantal canonical Noether theorem, and present the fractional spin property at the quantum level.

根据约束系统的Faddeev-Senjanovic路径积分量子化方法，我们对超对称任意子系统进行了量子化；根据经典Noether定理，得到了系统的守恒角动量；用量子正则Noether定理讨论了量子守恒角动量，我们发现了系统具有分数自旋性质。

Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system.

进而把FJ方法和Dirac方法进行了比较，发现在对此系统的量子化中，两种方法所给出的量子化结果完全是等价的。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。