提出一种李代数方法描述分子反应碰撞问题。
The dynamical Lie algebraic method for describing the reactive collisions is presented.
应用李代数方法讨论了非简谐振子激光激发的统计性质。
The statistical properties of non-harmonic oscillators' laser excitation are discussed by using Lie algebraic method.
近年来李代数方法成为研究分子势能面的强有力的工具。
In recent years Lie algebraic method has become a powerful tool to study the PES of molecules.
以磁四极透镜为例，用李代数方法分析强流脉冲的非线性传输。
Nonlinear transport of intense charged particle beams is analyzed with Lie algebraic methods.
用非线性李代数方法 ，对关于角动量的阶梯算符进行了研究。
Using the method of nonlinear Lie algebra, the tensors of ladder operators are obtained.
动力学李代数方法在研究原子分子碰撞问题中是一种很重要的方法。
The dynamical Lie algebraic method is used for the description of statistical mechanics of the atom-diatom collision.
对李群李代数方法在机器人中的应用做了基本的阐述，澄清了一些基本概念。
The fundamental theory of Lie groups and Lie algebras on robotics is expatiated in brief.
介绍了导出平均场加一般对力核多体问题粒子数守恒严格解的无穷维李代数方法。
By using an algebraic method related to su(3) Lie algebra, exact solutions of the eigenvalue problem of the reduced Hamiltonian are derived analytically.
利用李代数方法给出了含时库仑势量子体系的严格解，并指出了该方法的适用条件。
By use of Lie algebraic method, the exact solution of a quantum system with time-dependent Coulmb potential was obtained, and the suitable condition of the method was pointed out.
本文主要介绍了用动力学李代数方法构造多原子分子势能面的理论方法，及其在不同分子体系中的应用。
In this paper, the theory of constructing PES of polyatomic molecules by dynamic Lie algebraic method is presented, and its application in different molecular systems is introduced.
与其他量子力学计算结果比较，表明这种动力学李代数方法在预言有机共轭分子的非线性光学性质上同样有用。
Compared with other quantum calculations, DLA method appears to provide an effective method for the calculation of the hyperpolarizability of conjugated organic molecules.
结合李群李代数方法，系统地研究了多特征的位形空间理论，给出了定向公差约束子流形的局部参数显式表达。
A systematic introduction to the theory of configuration space of multi-features is given, appealing to Lie groups and algebras.
本文用生成元和定义关系的方法，对每个可解可补李代数给出一个定义矩阵。
A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.
在有单位元的交换环上，可应用生成元和定义关系的方法给出仿型李代数的定义。
On commutative ring with the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.
结果表明代数动力学方法对于具有非半单李代数结构的线性动力系统仍然适用。
It has also been shown that the algebraic dynamics might be generalized from the linear dynamic system with a semi-simple Lie algebra to that with a general Lie algebra.
结论是交换超算符方法的理论基础是李代数。
The conclusion is that the theoretical foundation of commutative hyper-operator method is Lie algebra.
文章使用李-代数方法对波动率弹性为常数（CEV）的时间依赖型期权提供一种定价方法。
This paper provides a method for pricing options in the constant elasticity of variance(CEV) model environment using the Lie-algebraic technique when the model parameters are time-dependent.
代数技巧；李群和李代数；离散数学；量子群；随机方法。
Algebraic Techniques; Lie Groups and Lie Algebras; Discrete Mathematics; Quantum Groups; Stochastic Methods.
将李群李代数理论成功地拓展应用于空间柔性机构系统的分析，验证了该方法的有效性。
The Lie groups and Lie algebras is successfully extended to study the mechanical system with spatial compliant links.
将李群李代数理论成功地拓展应用于空间柔性机构系统的分析，验证了该方法的有效性。
The Lie groups and Lie algebras is successfully extended to study the mechanical system with spatial compliant links.
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