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In part one,because there is no long-range order in one-dimensional(1D)system,generalized second-order Green's function theory isused to 1D spin-1 antiferromagnetic spin chain.The Haldane gapin the excitation spectrum appears naturally in the analytical re-sult;When k is zero,there is a gap 2Δ.

第一部分中，在长程序为零的条件下，我们应用推广的二级格林函数理论，讨论了自旋为1的反铁磁一维链，Haldane能隙在解析结果中自然地得出，在k＝0时，能谱中存在一个2Δ能隙，Δ＝0.5J。

The completely diagonalized Hamiltonian matrices of 3d2/3d8 ion configuration in the trigonal symmetry have been established by irreducible representation method. Taken into account the influence of the spin-spin coupling interactions omitted in previous publications, the spectra and the constants of crystal structure and zero-field splitting parameters of CsNiCl3 crystal and CsNiCl3: Mg2+ crystal are calculated and the influence of the doping to the spectra, the constants of crystal structure, zero-field splitting parameters and Jahn-Teller effect are studied. The results show that doping can change the structure of crystal which brings about the changes in the spectra and zero-field splitting parameters as well as Jahn-Teller effect.

应用不可约张量理论构造了三角对称晶场中3d2/3d8态离子的45阶可完全对角化的微扰哈密顿矩阵，在考虑了以前工作中被忽略的自旋-自旋耦合作用的基础上计算了CsNiCl3晶体和CsNiCl3：Mg2+晶体的基态能级、晶体结构、零场分裂参量和Jahn-Teller效应，研究了掺入Mg2+对CsNiCl3晶体的光谱、零场分裂参量及Jahn-Teller效应的影响和自旋单重态对基态能级的贡献，发现掺杂使得晶体结构产生畸变，从而改变晶体光谱的精细结构和零场分裂参量，不改变Jahn-Teller效应的分裂规律但改变分裂的大小。

III Investigations of ferromagnetic alloy films by XMCD1. By using XMCD and SQUID magnetometry, the spin and orbital moments of Fe and Co in the Co_(0.9)Fe_(0.1)(50nm) are studied. Compared with single-element film, the spin moment of Co remains constant while that of Fe reduced from 1.98 to 1.63μB. The contributions of different elements in the film is, m_ : m_ - 10.5 : 89.5. The average magnetic moment (1.90μB) determined by XMCD is in agreement with that (1.82μB) obtained from SQUID measurements. Utilizing XMCD spectra in-plane element-dependent magnetic anisotropy in Co_(0.9)Fe_(0.1) films has been investigated. Apart from known field-induced easy axis during film growth, a soft axis perpendicular to it was observed, and hard axes are 66° away from the easy axis.

利用XMCD谱研究了50nm Co_(0.9)Fe_(0.1)薄膜，结果发现：样品中Fe、Co元素对磁化强度的贡献比为10.5∶89.5；由XMCD获得的合金平均原子磁矩1.90μ_B与用SQUID磁强计得到的合金平均原子磁矩1.82μ_B基本相符；对Co_(0.9)Fe_(0.1)薄膜面内元素分辨的磁各向异性的研究发现，除了在生长的磁诱导方向存在易磁化轴外，与该轴垂直的方向还存在一个类似易轴的软磁化轴；面内的两个难磁化轴与易磁化轴取向大约成66°夹角，构成面内双轴磁各向异性，并根据XMCD结果对面内双轴形成的原因进行了分(来源：Ad2BC82论文网www.abclunwen.com)析。2。

Our purpose is to try to understand some long-standingproblems in light baryon which include (1) The energy level or-der between the positive- and negative- parity partner states,in particular, Roper resonance puzzle;(2)The baryon spin-orbitstructure puzzle-the absence of spin-orbit effects in baryon spec-trum;(3)The calculated amplitudes of nucleon form factors droptoo fast and the uncertainty of the multipole strength in thetransition process of rN →△.

我们的目的是试图解决以往组分夸克模型在轻重子系统的研究中存在的几个问题：(1)重子谱中正负宇称配对态的能级次序，特别是Roper共振之谜；(2)重子谱中自旋轨道看不见之谜；(3)核子形状因子随转移动量增大而下降过快及核子到其共振态光和电生过程中多极子强度和形状因子的不确定性。

By employing such a method, 5 series of elastomers, including natural rubbers, elastomeric polyester fibers and ethylene-octene, ethylene-methyl acrylate as well as SIS triblock copolymers, were investigated with the purpose of studying elongation induced phase structure and mobility changes of the samples. For NR samples, it was demonstrated that there exists a small amount of crystals at RT even for unelongated samples. For both NR and the soft segment of PEE, with the increase of elongation ratio, the elongation-induced crystallinity increases almost linearly in a certain region of R, in accord with the increase of the lamellar thickness of the crystals; The behavior of ethylene copolymers, in terms of elongation induced morphorpholgy changes, are quite different from NR and PEE. The crystals are found to be gradually destroyed with the increase of R, with accord with the decrease of the lamellar thickness; The motional behavior of the soft segment of SIS, changes from "liquid" to "solid", in terms of 13C NMR spin-lattice relaxation.For many of the aformented samples, the dependence of 13C spin-lattice relaxtion time T1 on R are different for different groups, indicating that the changes of mobility at MHz frequency region with elongation are different for different groups.

通过对天然橡胶、聚醚酯嵌段共聚物、乙烯-辛烯共聚物、乙烯-丙烯酸甲酯共聚物、SIS等高分子弹性体样品聚集态结构和分子运动的研究，获得了一些新的实验结果，如：给出了确切的实验证据，证明了室温下未拉伸的天然橡胶样品中存在着微量的结晶；发现随着拉伸比增加，天然橡胶及聚醚酯样品的软段部分会出现拉伸诱导的结晶，且结晶度在一定范围内呈现近似线性的增加，所形成晶片的厚度也随之逐渐增加；而乙烯共聚物随着拉伸比的增加，原有的结晶会被逐渐破坏，晶片厚度逐渐变薄，结晶中的缺陷逐渐增加；随着拉伸比的增加，SIS中PI软段部分的核磁共振弛豫行为会出现从液态到固态的转变等；在对上述多个体系的研究中，还发现不同基团的自旋-晶格弛豫时间随着拉伸比呈现不同的变化趋势，表明不同基团的高频运动随拉伸比增加有不同的变化规律。

Results:(1) Spin-echo sequence included axial, coronal and sagittal images. In T1-weighted images,the medulla oblongata is isointense,the cistern is hypointense; in T2-weighted images,the medulla oblongata is isointense, CSF shows hyperintense, and the arteries of posterior fossa appear hypointense flow voids. The cisternal cranial nerves are not clearly demonstrated in the routine spin-echo images. In 3D-time of flight images, the brain tissue shows isointense, CSF is hypointense, the artery shows hyperintense,and the cranial nerves show linear isointense.

2，结果：(1)常规SE序列横断面、冠状面及矢状面T1WI显示延髓等脑组织呈等信号，延髓周围池脑脊液呈黑色低信号，T2WI显示脑组织为等信号、脑脊液为白色高信号，脑底动脉在池内高信号背景下由于&流空效应&而表现为低信号，常规序列由于成像参数关系而不能直接显示脑池内颅神经；三维时间飞跃(3D-TOF)成像序列显示脑组织为等信号，脑脊液为低信号，而脑池内脑底动脉则呈高信号、脑池内后组颅神经为线状等信号。

In this thesis, several problems of time-dependent systems in various branches of physics are investigated by making use of the generalized invariant theory and the invariant-related unitary transformation formulation. The problems are given as follows:(1) Spin model and geometric phase factor in the fiber We investigate the fiber experiment performed by Chiao-Tomita and the Chiao-Wu theory concerning the geometric phase factor in the optical fiber, and then show that the investigation of the propagation of photons inside the noncoplanar optical fiber can be regarded as that of a second-quantization spin model.

本论文用推广的不变量理论和与不变量有关的幺正变换方法研究了一些物理分支中的几个含时系统问题：(1)自旋模型与光纤中光子几何相因子问题重新考察了Chiao-Tomita光纤实验和Chiao-Wu关于光纤中光子几何相因子的理论，证明了在非共面弯曲光纤中传播的光子运动问题实际上可以化为二次量子化含时自旋模型研究。

Aiming at two key issues in the molecular design of high-spin moleculesand organic ferromagnets, i.e., the ferromagnetic coupling strength in localradical fragments and the changeover of coupling capabilities offerromagnetic coupling units in building high-spin molecules, we made anextensive and deep investigation on numerous important conjugated radicalsystems within the semiempirical and nonempirical VB model, respectively.

针对高自旋分子和有机铁磁体的分子设计中的两个重要问题，即自由基片断的铁磁偶合强度及铁磁偶合单元在&建造&高自旋分子时其偶合能力的变化，分别用半经验的和非经验的VB模型，以一些重要的共轭自由基体系为对象进行了广泛而深入的研究。

For the first time, we investigated the possibility of using non-minimal coupled scalar field (include Real and Complex scalar fields) as the candidate of dark energy---Quintessence or Phantom. A cosmological model droved by real scalar field with accelerating and decelerating, forever cycling and expanding was constructed. Classical and quantum wormholes with Tachyon fields were discussed in detail. The entropy of sphere symmetric black holes due to arbitrary spin fields was studied, and the proportional relations between entropy and fields degeneracy was derived. For the first time, we investigated the neutrino quasinormal modes of stationary black holes in the background of de Sitter space-time, and the quasinormal modes of Schwarzschild black holes with arbitrary spin fields. We also studied the quantum teleportation in the background of curved space-time for the first time.

中文摘要：我们首次研究了非最小耦合标量场作为宇宙暗能量－Quintessence、Phantom的可能性；构造了一个实标量场驱动的加速－减速无限循环，永恒膨胀的宇宙模型；详尽讨论了具有Tachyon场的经典和量子虫洞；研究了一般球对称黑洞缘于任意自旋量子场的熵，给出了熵与量子场简并度之间的正比关系；首次研究了deSitter背景时空下具有中微子场的稳态黑洞的似正规模与具有任意自旋场的Schwarzschild黑洞的似正规模问题；首次研究了弯曲时空背景下的量子通讯问题。

This entirely studies long end effect is by " even the line " Chris Anderson of magazine chief editor puts forward the earliest in the Changweiyiwen October 2004, use descriptive such as the commerce of Yamaxun and website of Netflix and so on and economic mode, still do not have official definition up to now, the most extensive multitude using in the website is SEO personnel, they are being searched a few not be too popular keyword do not look down upon these keywords, the one discharge that decides keyword of dimensions to bring is to exceed likely advocate of the discharge of the keyword, divide up in a few big doors advocate keyword market we should monarch additionally path, searching competition is not so big keyword, spin these keywords like the tail, grow gotten flow what pull more more, besides SEO, in growing end effect to return body to show to wait for network business in B2C, C2C, B2B, product of an unexpected winner is searched in the commodity with intense competition, seek much site, spin the tail, can increase a sale so.

长尾效应这一概念是由《连线》杂志主编Chris Anderson在2004年十月的长尾一文中最早提出，用来描述诸如亚马逊和Netflix之类网站的商业和经济模式，至今尚无正式定义，在网站中应用最广泛的人群是SEO人员，他们在寻找一些不是太热门的次关键词别小看这些关键词，一定规模的次关键词带来的流量是有可能超过主关键词的流量的，在一些大门户瓜分的主关键词市场我们应该另辟蹊径，寻找竞争不是那么大的次关键词，将这些关键词像尾巴一样拉长，拉的越长得到的流量越多，除了SEO外，长尾效应还体现在B2C、C2C、B2B等网商中，在竞争激烈的商品中寻找冷门产品，找多点，把尾巴拉长，这样就能增加销售。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。