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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。

The Exobiology Branch conducts research in Exobiology seeking to increase our knowledge of the origin, evolution, and distribution of life in the universe, such as chemical evolution occur in the primitive bodies of the solar system, evidence regarding the early interplay between biological and environmental evolution, and molecular fossils about early microbial evolution so on.

外太空生物学分部致力于研究外太空生物学，探索宇宙生命的起源，演化和分布，例如太阳系最初生命的化学演化，有关早期生物和环境的演化相互影响的证据，以及有关早期微生物进化的分子化石等。

Work on mesoscopic superconducting films has demonstrated interesting new features associated with the interplay between fluxions and artifacts.

在超导材料方面，生长出具有国际一流水平的氧化物高温超导单晶；在铁基高温超导材料方面，获得最高的超导转变温度；在超导机理的研究方面，建立了一些行之有效的手段，如低温比热、隧道谱、角分辨光电子谱、红外光电导谱等等，利用这些重要手段获得了一些重要结果，如从比热角度提出欠掺杂氧化物超导体应该具有一个费米弧基态，利用高精度角分辨光电子谱测量第一次观察到115meV和150meV两个新的高能量精细结构。

This paper anysises the interplay between economy and environment ,and based on the sustainable development theory, puts forward a few countermeasures for exploiting water resource, developing irrigated farm, realising stable self supply of grain, returning farming to ...

本文对其经济与环境间的相互影响进行了分析，并以可持续发展为理论基础，提出了开发水资源，发展灌溉农业，实现粮食稳定自给和退耕还牧，改善生态环境的发展对策。

The growth of truncated icosahedra could be induced and maintained through interplay of following processes:the～50 nm multiple twinned seeds were generated; shape and size focused by Ostwald ripening,then oxidativly etched and preferentially grew on the {100} face.Oxidative etching plays an important role in the formation of gold nanocrystals on hydrothermal condition.

对二十面体金纳米粒子及截角二十面体的生长机理进行了探讨，考察了不同刻蚀程度对金纳米粒子的形态影响，研究结果表明，增强体系刻蚀程度有利于单晶的生长，减弱刻蚀程度有利于孪晶的生长。

And ultimately to gain long-awaited insights into the interplay of trees and lianas.

在漫长的期盼之后，他终于明白了树木与藤蔓之间的相互作用。

Its repertoire of original contemporary cross-cultural work includes Yuan, Interplay, Lumina I and II, and Triaspora.

於2002年起，兰韵中乐团成为加拿大联合国文化教育委员会代言人，为推广族群融合而努力。

As in other recent video works by Onofre (a casting of young fashion models and wanna-be actors; a resistance test performed by a ballet ensemble), the individual performances interplay and match the frame and unity of the collective body.

象在其他新近录像内以Onofre 工作的那样(铸件的年轻时装模特的并且想要演员；抵抗考试以芭蕾舞团执行)，那些个别表演相关作用和比得上那些框架和团结的那些集体身体的。

Ingenious motivic development and interplay, subtle "conversations" between the instruments, and great variety of textures, all contributed to making the quartet the most elevated type of chamber music, in which a composer was likely to express some of his most advanced and original thoughts about musical composition.

莫扎特、贝多芬以及后来很多伟大的作曲家都以海顿的形式为范本对弦乐四重奏进行创作和发展。精巧的音乐动机的发展和相互影响，乐器间精致的问答呼应，以及许多形式不同的乐曲结构，所有这些使得弦乐四重奏成为室内乐中最重要的音乐形式。

The sparkle of white gold and diamonds. The shimmer of the guilloché night blue dial. The interplay of iridescence and transparency. The harmony of proportions. The finesse in every detail. These are some of the attributes of Patek Philippe's new ultra-thin mechanical wristwatch for ladies.

白金与钻石的光泽交相呼应、镌刻着精致 Guilloché饰纹的夜蓝色表盘黯光淡雅、绚烂的彩虹色与光洁的透明相得益彰、精确入微的平衡比例铸就完美和谐、精工细致自然流露，百达翡丽最新女装超薄机械腕表的美艳雍容略见一斑。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。