量子化的

The spectral theory of graph is not only an important area in graph theory but also an active topic. There are extensive applications in the fields of quantum chemistry, physics, computer science, communication network and information science.

近半个世纪以来，谱图论形成发展成为图论研究的重要领域之一，也是一个非常活跃的研究方向，它在量子化、物理、计算机科学、通信网络及信息科学中均有广泛的应用。

We also calculated the details of the eigenfunction.

由于周期折皱界面引起的激子质心运动量子化使得光吸收谱中出现了新的几乎等距的吸收峰。

Secondly, based on the decomposition of gauge potential and the φ-mapping theory,φ-topological field theory of vector and spinor field is established and the Euler class is quantized by nodal indices of vector field.

作为它在量子力学中的应用，分别给出了自旋为零和自旋为1／2粒子的整数及半整数量子化条件，发现它们仅取决于物理系统的内部对称性。

Two different hypotheses on the quantization of particle motion in the flat space by curved coordinate systems are discussed, and their differences in physical ideas and practical operations are compared.

徐湛讨论了平直空间曲线坐标系中质点运动的两种不同的量子化假设，比较了它们在物理思想和实际操作上的区别和优劣。

The macroscopic quantization of circulating current is an attractive property of superfluid s.

环流的宏观量子化是超流体最引人瞩目的性质之一。

Firstly, based on the generalized function,φ-mapping topological current are rigorously proved to be of delta-function form δ and can be labelled by the nodal indices of the vector field, namely by Hopf indices and Brouwer degrees of this vector field, which reveals the inner relationships between our theory and the topology of vector bundle.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Firstly,based on the generalized function,φ-mapping topological currentare rigorously proved to be of delta-function formδand can be labelledby the nodal indices of the vector field,namely by Hopf indices and Brouwerdegrees of this vector field,which reveals the inner relationships between ourtheory and the topology of vector bundle.A singular divergence theorem isalso presented.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

We also studied the quantization of flux of those vortices related to the topological numbers in this case.

另外还研究了该涡旋解的磁通量的拓扑量子化。

The investigation results show that the frequency is quantized for confined effect.

计算结果表明：光子的束缚效应将导致频率的量子化。

Using the quantum theory for a mesoscopic circuit based on the discreteness of electric charges, the finite-differenced Schrodinger equation of the non-dissipative mesoscopic capacity coupling circuit are achieved.

在电荷取分立值这一基本事实基础上，对介观电容介观电路进行了量子化，得到了该电路的有限差分形式的薛定谔方程。

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。