波函数

Particles, such as pi-mesons, requiring symmetric wave functions are called bosons.

要求对称波函数的粒子，如兀介了，叫做玻色子。

This paper compared the Covalency - Effect and the Nephelauxetic - Effect, applied these two methods in the absorption spectra of DMS Zn1- xMnxTe, and found that both methods can gain fine results. But the results by applying the Nephelauxetic - Effect modifying factor to modify the radial wave functions are much closer to the experimental values.

该文对共价效应和电子云延伸效应在处理稀磁半导体的吸收光谱方面的应用做了详细的比较，并分别应用到了稀磁半导体Zn-xMnxTe上，虽然两种处理方法都能够得出比较好的结果，但用电子云延伸效应修正因子修正波函数得出的结果与实验更为接近。

By employing the Jordan-Wigner transformation and a modified mean field method, we are able to determine its ground-state quantum phase diagram approximately. The chapter IV is the main part of this Thesis. It contains the main innovations in our work. We propose and study in detail a S=1 Ising chain with the interplay of single-ion anisotropy and dimerization. The main results and innovations are the following: We show that the total number of the zero-component of spins at each site is a conserved quantity. This quantity, which may intuitively called as hole's quantum number, is hidden in the system. We show further that the hole's number in the ground-state is zero; By using the Jordan-Wigner transformation, we map this model onto a series of subsystems described by the spin 1/2 dimerized transverse Ising model. We solve the subsystems exactly, by presenting the exact wave functions and spectra;We show that this system exhibits a series of quantum phase transitions by varying the dimerization strength. We determine the quantum critical points exactly. We also show that the criticality is the same as that of the uniform S = 1/2 transverse Ising chain.

第四章是本文的重点及主要创新内容，我们具体研究了自旋为1的在横向单离子晶格场中的一维二聚化Ising链，我们得到的主要结果和创新之处是：(1)证明了这一模型具有一种隐藏的对称性，即自旋第三分量为零的格点数目是一个守恒量，并证明基态出现在空穴数目为零的子空间中；(2)利用Jordan-Wigner 变换将此模型变换到一系列自旋为1/2的横磁场中的二聚化Ising 模型，并给出了相应严格的波函数及能谱；(3)我们发现系统的基态随着二聚化强度的变化将呈现出一系列量子相变，我们得到了量子临界点的精确位置，并证明其临界性质与自旋为1/2的横磁场中的均匀Ising 链中的临界行为属于同一普适类。

In this paper, two kinds of similar Haar wavelet functions are presented.

提出了两种相似Haar小波函数。

We discover that build-in electric field, wave function and energy of electrons are all different with the different content of In in InGaN/GaN quantum dots.

发现随着 In含量的不同，压电场大小也不同，导致电子波函数和本征能量不同。

In order to understand the mechanism of carrier recombination process, the TRPL was also investigated. The coverage dependence of lifetime can be well-explained by band-bending effect and electron-hole wave function overlap.

由时间解析光谱来分析载子生命期，我们发现载子生命期会随著碲化锌覆盖厚度的不同而改变，其现象可由能带弯曲的情形，以及电子电洞波函数的重叠情形加以说明。

Adopting a new self-consistent method, we calculate the energy levels and wave functions of symmetric double-square-quantum-well structures where the electronic density and the depletion lengths in the modulation-doped regions are determined self-consistently according to the properties of the materials and the growth conditions.

采用一种新的自洽方法计算了对称双量子阱的能级和波函数，其中电子密度、调制掺杂区电离层的厚度等参数是根据材料的性质、生长条件等自洽确定的。

Point wave function as well as from the bandwidths and band gaps.

从点波函数、能带带宽以及带隙分析了载流子的传输行为。

On the condition of electric-longitudinal-optical phonon strong coupling in both two- and three-dimensional parabolic quantum dots, we obtain the eigenenergies of the ground state and the first excited state, the eigenfunctions of the GS and the first ES by using a variational method of Pekar type.

在电子-体纵光学声子强耦合情况下，我们采用Pekar类型的变分方法获得了二维和三维抛物势限制的量子点中的电子的基态和第一激发态的本征能量和本征波函数。

In our free particle example, it turns out that it is impossible to find a wavefunction that is an eigenstate of both position and momentum.

我们以自由粒子为例，找到既有位置又有动量的波函数是不可能产生的。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。