QUARK-ANTIQUARK ONE GLUON EXCHANGE POTENTIAL AND EFFECTIVE NUCLEON-ANTINUCLEON POTENTIAL

In this paper, the quark-antiquark one gluon exchange potential corresponding to the annihilation channels is calculated to the order of p²/m² by means of Fierz reordering transformation. The nucleon-antinucleon effective potential obtained from one gluon exchange potential has a strong attraction at a short distance as expected in the meson-exchange theory.     

广义势和耗散函数

介绍广义势和耗散函数的概念，并举例说明存在广义势和耗散函数力学体系Ｌａｇｒａｎｇｅ方程的应用。     

CHEMICAL POTENTIAL QUANTIZATION AND BOSE-EINSTEIN CONDENSATION

In this paper, first of all, we proved if the ideal Bose gas with a finite volume and number of particles has a non-degenerate single-particle energy level ε_n, the chemical potential μ can take the value μ_n=ε_n and there is a phase transition temperature T_p,n, where n=0,1,2… Taking ε₀≤ε_n<ε_n+1, then T_p,0≥T_p,n>T_p,n+1. When the temperature T>T_p,n or T≤T_p,n+1, μ≠ε_n and the most probable occupation number N_n=0. In the temperature interval T_p,n≥ T>T_p,n+1,μ=ε_n and 0≤N_n=N-Σ_jN_j<～supN_n, where N_j is the most probable occupation number in the degenerate level j. Thus, if the finite ideal Bose gas has some non-degenerate single-particle levels, there exists a characteristic temperature T_p=T_p,0. The chemical potential μ is quantized when T≤T_p, and this leads to the creation of a macroscopic quantum state (pure state) or Bose-Einstein condensation phase. T_p=T_p,0 is a first-order phase transition point, T_p,n≠0 is a zero-order phase transition point. Next, we obtained a new expression of the most probable distribution of the finite ideal Bose gas. In this expression N_j is directly proportional to g_j-1, where g_j and N_j are, respectively, the degeneracy and the most probable occupation number in the degenerate level j. This property agrees with what chemical potential can be quantized if there is a non-degenerate level for the finite ideal Bose gas. Finally, using this expression, we defined a micro-partition function M, obtained the statistical expressions of some thermodynamical quantities.     

C2分子的分析势能函数与垂直电离势

用ａｂｉｎｉｔｉｏ计算方法和实验光谱数据分别导出Ｃ２分子基态Ｘ１Σ＋ｇ和激发态ｄ３Πｇ的Ｍｕｒｅｌ－Ｓｏｒｂｉｅ函数，同时用ＱＣＩＳＤ／６－３１１Ｇ方法优化出Ｃ－２、Ｃ＋２、Ｃ２＋２分子离子基态的平衡核间距，算出Ｃ２分子的垂直电离势，计算数据与实验光谱数据进行了比较。     

MM-4中电位和分布实验

本文描述了用静电探针测量探针悬浮电位的方法,给出了MM-4电位分布的实验结果。结果表明,轴向电位分布不对称;在等离子体中沿轴向和径向存在双离子位阱。在离子能谱测量中观察到双离子温度。产生这样电位分布的机制,归于会切系统中的斯托沫区和电子枪的不同工作方式。测量的等离子体电位为-200——300V。     

极性晶体内表面电子的量子像势及其极化子的有效势

本文从与真空接触的存在二支声子的半无限极性晶体表面附近极化子的哈密顿算符入手，应用二支模型理论，分别对GaAs和ZnO两种材料计算了内表面电子的量子像势及其极化子的有效势。计算结果表明：当Z很小时，经典像势和半经典有效势分别与量子像势和量子有效势相差较大；当Z很大时，经典像势和半经典有效势分别是量子像势和量子有效势的一个很好的近似。     

UH和UH_2分子的结构与势能函数

用相对论有效原子实势 (RECP)和密度泛函 (B3LYP SDD)方法研究了UH ,UH2 基态和低激发态的结构和势能函数 ,导出了分子的光谱数据 .结果表明 ,UH和UH2 的基电子状态分别为X4 Π和X3A2 ,离解能分别为 2 .886eV和5 .2 4 9eV ,UH2 具有C2v对称性 ,得到了UH和UH2 的几个不同的低激发态的结构与光谱数据 .应用多体项展式理论以及数字拟合方法 ,计算得到了UH分子和基态UH2 三原子分子的分析势能函数 ,该函数正确反映了UH和UH2分子的结构特征 ,可用于研究UHH的微观反应动力学 .     

Pu_3体系的结构与势能函数

用相对论有效原子实势 (RECP)和密度泛函 (B3LYP)方法对Pun(n =2 ,3)体系的结构进行了优化 ,得到了Pu2 和Pu3分子的几何构型分别为D∞h,D3h,其基态分别为 13和 19重态 .在B3LYP RECP水平上得到Pu2 分子的光谱常数ωe=5 2 .3845cm- 1 ,ωe 　χe=0 .0 2 0 1cm- 1 和Pu3分子的谐振频率 (ν1 =5 6 .90 0 7cm- 1 ,ν2 =5 7.1816cm- 1 ,ν3=6 4 0 785cm- 1 )等性质 ,并通过正规方程组和多体展式理论 ,得到了Pu2 ,Pu3的分析势能函数 .     

用于等离子体电位测量的电容探针和发射探针

本文给出了发射探针和电容探针测量等离子体电位的实验和方法。发射探针采用直流功率加热，并在较强电子发射条件下运行（Ｉ_（ｅ０）／Ｉ_（ｅ０）＞１）。电容探针表面二次电子发射系数δ≥１。本文对发射探针的电子发射性能、工作电流、电容探针的输入、输出电压关系进行了标定实验。得到了电容探针的校准系数分别为３×１０（－３）、５×１０（－４）。实验给出了ＭＭ－４会切中心等离子体电位Ｖ_（ｐ４）＝－８２±９－１２２±１２Ｖ；ＭＭ－４Ｕ东、西会切中心等离子体电位分别为Ｖ_（Ｐ４ｕ１）＝－５２．９±３．２Ｖ，Ｖ_（Ｐ４ｕ２）＝－６２±３．２Ｖ。     

PRINCIPLE OF MAXIMUM OVERLAP AND OPTIMAL SINGLE PARTICLE POTENTIAL

The principle of maximum overlap is applied to the derivation of optimal single particle (sp) wave functions for a many-fermion system under the proposition that the ground state correlation should be taken into account rigorously. If the sp potential U_αβ is defined in terms of the mass operator M_αβ^(u) by u_αβ=M_αβ(εβ), it is shown that the eigenfunctions of the sp Hamiltonian h_αβ=t_αβ+u_αβ automatically fulfill the requirements of the above principle.     

He—HF体系的结构和分析势能函数

利用Ｇｕａｓｓｉａｎ９４程序和ＱＣＩＳＤ／６－３１１＋＋Ｇ方法得到Ｈｅ－ＨＦ和Ｈｅ－ＦＨ两种线性平衡结构,计算出了这两种弱结合分子的结构参数、离解能和二阶力常数。在此基础上,利用多体项展式方法民出Ｈｅ－ＨＦ（Ｘ＾１Σ＾＋）体系的分析势能函数,得到的势能面准确地再现了Ｈｅ－ＨＦ和Ｈｅ－ＦＨ两种线性结构。     

Ar—HF体系的结构,性质和分析势能函数

利用Ｇａｕｓｓｉａｎ９２程序和ＣＩＤ／６—３１１Ｇ＊方法优化得到ＡｒＨＦ和ＡｒＦＨ两种线性平衡结构，计算出了这两种弱结合分子的结构参数和离解能，并使用该程序和ＭＰ２／６—３１１Ｇ＊方法计算得到它们的力常数。在此基础上，利用多体项展式方法导出ＡｒＨＦ（Ｘ１Σ＋）体系的分析势能函数，得到的势能面正确地再现了ＡｒＨＦ和ＡｒＦＨ两种线性结构，预测出ＡｒＨＦ有Ｃｓ结构存在。     

均匀带电薄圆盘的电势及等势面

根据电势的叠加原理，导出了均匀带电薄圆盘电势的级数表达式，并进而给出了等势面方程。     

SECOND ORDER PION-NUCLEUS OPTICAL POTENTIAL AND DOUBLE CHARGE EXCHANGE REACTION

In the framework of fixed-scatterer field theory,we construct the second order iso-elastic microscopic pion-nucleus optical potential by including two nucleon correlation.The double charge exchange reactions to the double isobaric analog state are calculated by using our theoretical optical potential.For the incident pion energies ranging between 0 and 300MeV,the s and p wave components are included in the πN amplitude.     

FINITE TEMPERATURE EFFECTIVE POTENTIAL AND COSMOLOGICAL INFLATION IN WEINBERG-SALAM MODEL

The finite temperature effective potential in SUSY Weinberg-Salam model, proposed by Sohnius, is calculated. The temperature of the phase transition is found approximately. The scale of this temperature is of the order of hiqqs mass, it is the same as that in standard model. There is no influence on the phase transition from the Slavnov term. The cosmological inflationt SU(2)×U(1)epoch in such a model is estimated.     

实际射频阱中多极势分量的计算和消除

采用边界元方法,计算了当实际射频阱出现帽极开孔、环极开环带以及轴向存在装配误差时阱内电势的多极分量,并给出其随孔径大小变化的规律。结果表明在一定条件下,某些非线性因素可以部分抵消从而产生较为理想的四极势     

THE DECOPOSITION OF THE GAUGE POTENTIAL AND LTS aUANTIZATION THEORY

In this presentation, the quantization and renormalization of the Yang-Mills field theory are discussed from the stagdpoint of the decomposition of gauge potential.It may be regard as a new basis for the formulation of the fundamental interactions of particle theories.     

STRUCTURES OF Si AND Ge CLUSTERS UNDER MODIFIED STILLINGER-WEBER POTENTIAL

Structural behaviors of silicon and germanium clusters under the recently proposed modified Stillinger-Weber (SW) potential have been studied by molecular dynamics method along with the con-jugate-gradient optimization. Since the SW potentials have been derived from the properties of bulk materials, it gives relatively large discrepancy when the cluster number is small, e.g. n=3 and 4. When n>4, the ground-state structures under the modified SW potential are close to that from the first-principle calculation. The binding energies are also improved under the modified SW potential. These results may be attributed to the relative enhancement of the two-body term over the three-body term in the modified SW potential, which leads to structures with a preferential coordination number 4. Structural behaviors of germanium clusters are similar to those of silicon.     

浅杂质势与窄量子阱的耦合作用

本文采用一种新的变分波函数描述GaAs/Ga_1-xAl_xAs窄量子阱中的浅施主基态,并计算了杂质基态波函数和结合能。计算所得数值结果表明正确考虑窄量子阱与杂质势间的耦合作用是极为重要的。 关键词：     

n维简并理想费米气体的化学势和热容量

对能谱为ε＝ａｐ＾３的ｎ维简并理想费米气作了统一讨论，给出它的费米能、有限温度下的化学势、内能以及热容量的表达式。