10Neq+(q=1～3)的电荷损失截面

采用托马斯－费米近似和二体碰撞近似,计算了多电荷离子１０Ｎｅ＾ｑ＋与中性原子Ｈ和Ｈｅ碰撞的电荷损失截面以及电子的动量分布和离子势函数分布。     

_(18)Ar~(q~ )(q=3,4)与H和He碰撞的电荷剥离截面

采用二体碰撞近似和托马斯 -费米近似计算了多电荷离子18Arq ( q =3,4 )与中性原子H和He碰撞的电荷剥离截面以及Arq 的势函数和电子动量分布 ,计算结果与文献 [4]中的数据符合得较好。所导出的计算公式和编制的计算程序可以计算任何一个多电荷离子Aq 与H或He碰撞的电荷剥离截面。因而具有一定的普适性。     

_(18)Ar~(q~+)(q=3,4)与H和He碰撞的电荷剥离截面

采用二体碰撞近似和托马斯 -费米近似计算了多电荷离子18Arq+( q =3,4 )与中性原子H和He碰撞的电荷剥离截面以及Arq+的势函数和电子动量分布 ,计算结果与文献 [4]中的数据符合得较好。所导出的计算公式和编制的计算程序可以计算任何一个多电荷离子Aq +与H或He碰撞的电荷剥离截面。因而具有一定的普适性。     

36Krq+(q=1,2)与H和He碰撞的电荷剥离截面

采用二体碰撞近似和托马斯-费密近似方法计算了多电荷离子₃₆Kr^q+的势函数和电子动量分布,以及它与中性原子H和He碰撞的电荷剥离截面. 关键词：     

电荷剥离截面的计算

采用二体碰撞近似(BEA)和托马斯费密近似(TFA),计算了多电荷离子(3Li2+,6C5+,10Ne+,18Ar+,36Kr+,54Xe+)的势函数分布和电子动量分布,以及它与中性原子H和He碰撞的电荷剥离截面. 关键词：     

金激光等离子体冕区电离态特性研究

 提出一种测量金激光等离子体电荷态分布与平均电离度的X射线光谱学诊断方法。该方法基于稳态碰撞-辐射近似,考虑电子离子直接碰撞激发与双电子复合两种激发态布居方式,建立了金M带5f-3d跃迁组辐射总强度与离子态分布的耦合方程。根据实验测量的金平面靶激光等离子体冕区辐射的5f-3d跃迁线系的强度分布,诊断得到了金激光等离子体的电荷态分布与平均电离度。此外,还分析了电子温度、电子密度以及双电子复合过程对电荷态分布及平均电离度诊断的影响,并将实验诊断结果与辐射流体力学理论模拟结果及离化平衡动力学计算结果进行了对比分析。结果表明：实验诊断结果与基于CRE近似的离化平衡动力学计算结果近似;当电子温度高于1.5 keV时,双电子复合过程对电离度的诊断结果影响较小。     

多电荷碳离子的电荷损失截面

 研究了多电荷碳离子分别与中性氢原子或氦原子碰撞的电荷损失截面,同时计算了多电荷碳离子的电势函数和电子动量分布,其中电荷数为5的碳离子的截面数据与Shirai等人的计算结果符合得相当好。所导出的计算公式和编制的计算程序可以推广计算任何一个多电荷离子A^q+与H或He碰撞的电荷损失截面,因而具有一定的普适性。     

辐射复合截面的扭曲波计算

采用非相对论量子计算方法计算了电子与高电荷态离子碰撞的辐射复合截面, 其中连续态电子的波函数是由扭曲波近似方法(DWBE)获得. 计算了低能电子与中、低核电荷的高电荷态离子(类H和类Li)的辐射复合截面, 并与采用有效电荷的库仑波计算结果进行了比较, 说明了扭曲波计算的重要性.     

多电荷离子的电子动量分布和电子剥离截面的数值研究

计算了多电荷离子的电子动量分布和多电荷离子与中性原子碰撞的电子剥离截面。     

离子碰撞过程中电荷转移的理论研究

用经典轨道蒙托卡罗(CTMC)方法计算离子与氢原子碰撞过程电荷转移截面,并计算俘获电子的n(n为主量子数)壳层分布。对于多电荷离子的碰撞过程,利用约化变量得到了截面的q标度规律。计算结果与实验测量符合得很好。     

q-Weyl coefficients forU q (3) andq-Racah coefficients forSU q (2)

We show that theq-Weyl coefficients of the quantum algebraSU _q (3) are equal to theq-Racah coefficients of the quantum algebraSU _q (2) (up to a simple phase factor). Using aq-analog of the resummation procedure we obtain also theq-analogues of all known general analytical expressions for the 6j-symbols (or the Racah coefficients) of the quantum algebraSU _q (2) starting from one such formula.Presented at the 4th Colloquium Quantum groups and integrable systems, Prague, 22–24 June 1995.The research described in this publication was supported in part by Grants No. MB1000 and No. NRC000 from International Science Foundation.     

夸克胶子物质内的qq(q)→qq(q)反应

夸克胶子物质内的从夸克-夸克-反夸克到夸克-夸克-反夸克的散射过程会影响夸克物质和反夸克物质的热平衡化,其散射振幅是研究热平衡化的一个基础.依据微扰QCD理论,编制Fortran程序,推导了α4s阶的各个qq(q)→qq(q)散射费曼图的振幅平方和不同费曼图间的干涉项.     

Bicovariant differential calculi on SL q(N) and Sp q(N)

For transcendental values of the deformation parameter q all bicovariant first order differential calculi on the Hopf algebras are classified.     

Bicovariant differential calculus on quantum groupsSU q (N) andSO q (N)

Following Woronowicz's proposal the bicovariant differential calculus on the quantum groupsSU _q (N) andSO _q (N) is constructed. A systematic construction of bicovariant bimodules by using the matrix is presented. The relation between the Hopf algebras generated by the linear functionals relating the left and right multiplication of these bicovariant bimodules, and theq-deformed universal enveloping algebras is given. Imposing the conditions of bicovariance and consistency with the quantum group structure the differential algebras and exterior derivatives are defined. As an application the Maurer-Cartan equations and theq-analogue of the structure constants are formulated.Address after 1 Dec. 1990, Institute of Theoretical Physics, University of München.     

Integrable Equations of the Form q t =L 1(x,t,q,q x,q xx )q xxx +L 2(x,t,q,q x,q xx )

Integrable equations of the form q _t =L ₁(x,t,q,q _x ,q _xx )q _xxx +L ₂(x,t,q,q _x ,q _xx ) are considered using linearization. A new type of integrable equations which are the generalization of the integrable equations of Fokas and Ibragimov and Shabat are given.     

Left regular representation and contraction of sl q (2) to e q (2)

The left regular representation of the quantum algebras sl _q (2) and e _q (2) are discussed and shown to be related by contraction. The reducibility is studied andq-difference intertwining operators are constructed.     

Differential operators on quantum spaces for GL q (n) and SO q (n)

We prove that the rings of q-differential operators on quantum planes of the GL _q (n) and SO _q (n) types are isomorphic to the rings of classical differential operators. Also, we construct decompositions of the rings of q-differential operators into tensor products of the rings of q-differential operators with less variables.     

利用SU（2）_（q，s）量子代数的两参数变形振子实现讨论SU（2）_（q，s）相干态

利用ＳＵ（２）ｑ，ｓ量子代数的两参数变形振子实现构造出与Ｐｅｒｅｌｏｍｏｖ相干态形式不同的ＳＵ（２）ｑ，ｓ相干态．证明了ＳＵ（２）ｑ，ｓ，量子代数的表示基是正交的，并讨论了它的相干态的归一性和完备性．指出ＳＵ（２）ｑ，ｓ相干态的相干性受参数ｑ，ｓ的影响，它比单参数变形ＳＵ（２）ｑ相干态更具一般性．     

SO q (4) quantum mechanics

In this paper we extend our previously discovered exact solution for an SU(2) Yang-Mills-Higgs theory, to the general group SU(N+1). Using the first-order formalism of Bogomolny, an exact, spherically symmetric solution for the gauge and scalar fields is found. This solution is similar to the Schwarzschild solution of general relativity, in that the gauge and scalar fields become infinite on a spherical shell of radiusr ₀=K. However in the Schwarzschild case the singularity at the event horizon is a coordinate singularity while for the present solution the singularity is a true singularity. It is speculated that this solution may give a confinement mechanism for non-Abelian gauge theories, since any particle which carries the SU(N+1) charge would become permanently trapped inside the regionr<r ₀.