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Eigenfunctions obtained in this way can be divided into two parts: a perturbative part and a non-perturbative part.

这样得到的本征函数可以被分为微扰与非微扰区两部分。

Making use of a generalization of Brillouin-Wigner perturbation theory, in this project, we have studied such a division of energy eigenfunctions and properties of eigenfunctions in their perturbative and non-perturbative regions.

本项目利用推广的布里渊-维格纳微扰论研究了本征函数的这种划分，以及微扰与非微扰区的本征函数的性质。

Since perturbative methods are not valid in the strong coupling region ofquantum field theory,one must use the non-perturbative methods which is hardand await further development.

量子场论的强耦合区性质，由于微扰论不适用，必须用非微扰方法来研究。

Starting from the six-quark-diagram scheme and low energy effective Hamiltonian,we calculate the various Feynman diagram s in the charmless hadronic B-meson decays for the two body pseudoscalar meson final states within the framework of perturbative QCD.

在微扰 QCD框架下，利用六夸克图方案及低能有效哈米顿，对于两体赝标介子末态，给出了诱导 B介子无璨弱衰变过程的不同费曼图的计算。

We first use perturbative QCD theory to calculate the photon production cross section in nu- cleon - nucleon collisions at a center-of-mass energy of a few tens of GeV, taking into account the intrinsic parton transverse mo- mentum distribution and the next-to-leading-order contributions.

首先我们用微扰量子色动力学理论计算质心能量几十GeV核子核子碰撞中光子产生截面，同时考虑了部分子内禀横动量分布和二级费曼图的贡献。

The purpose of this thesis is to present a direct perturbative method to solving certain Fokker-Planck equation, which have constant diffusion coefficients and some small parameters in the drift coefficients.

中文摘要本篇论文应用微扰法来解某些Fokker-Planck方程式，而这种Fokker- Planck方程式具有扩散系数是常数以及漂移系数是很小的参数的特徵。

On the other hand, all the results obtained in here are helpfulto further precisely test perturbative QCD and NRQCD factorization theorem.

同时本文的计算结果也有助于进一步精确检验微扰QCD及NRQCD因子化定理。

Four seminars of special topics at an accessible level were organized at 4:00 - 5:00pm each afternoon. Prof. Shufang Su of the University of Arizona gave the first seminar on the ''Dark matter search and the LHC". Prof. Tao Han of the University of Wisconsin-Madison spoke on the ''Methodology of collider phenomenology" on the second day. Prof. Hsiang-Nan Li of the Academia Sinica, Taipei, gave a talk on the ''Perturbative QCD and the factorization Theorem". Prof. Lian-Tao Wang finished up in the last day to speak on the ''Monte Carlo techniques in high energy physics".

每个下午16：00-17：00是专题讲座时间，分别由美国亚利桑那大学的苏淑芳教授做了有关"寻找暗物质与LHC"的讲座，美国威斯康星-麦迪逊大学的韩涛教授做了有关"对撞机现象学研究的方法"的讲座，台湾中央研究员的李湘楠教授做了"微扰QCD和因子化定理"的讲座，王连涛教授最后做了"高能物理中的蒙特卡洛方法"的讲座。

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程，得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符，它隐含了胶子作用，并且准确至流-流耦合项；接着，通过参数化哈密顿量中的夸克作用关联核，导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程；随后，应用公式，编程求解，考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚，在计算中保留了空间流-流耦合作用；之后，导出瞬时势和延迟势下包含二体作用项的哈密顿量公式，并采用单体化近似，通过泛函变分方法得到核物质存在时耦合的非线性动力学方程；在保留部分空间双流耦合作用的近似下，求解核物质的动力学方程，考察核物质密度对真空凝聚的影响，以往考察真空凝聚，对关联核的选用，由于空间流-流耦合项不易处理，也认为作用不大，常忽略该项，并且常采用瞬时作用；本文保留空间双流项和部分延迟作用，考察了真空情形的夸克对凝聚，还考察了夸克质量对纯真空凝聚的影响，以往对核物质存在情形的真空凝聚考察很少，也都忽略空间流-流项，本文在考虑部分空间流-流项近似下，考察了核物质存在对真空凝聚的影响。

The perturbative theory of laser induced collisional charge exchange is presented, in which the laser induced collisional charge exchange is described as a four body system and the compound atomic and ionic states are used as basis states of LICCE, and the equation of motion for the probability amplitudes of the states are obtained.

将激光感生碰撞电荷交换看作一个四体系统，发展了激光感生碰撞电荷交换的微扰理论；以独立原子和离子的复合态波函数作为激光感生碰撞体系的基组函数，得到了体系态振幅的运动方程。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。