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动力学群
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  dynamical groups
     SYMPLECTIC MANIFOLD AND DYNAMICAL GROUPS
     辛流形与动力学群
短句来源
  dynamical group
     A Discrete Symmetry and the Ladder Operators for the Dynamical Group of Monopole
     单极动力学群的离散对称及阶梯算子
短句来源
     It is pointed out that thecarrier subspace of collective states of the dynamical group SU(3) in the Elliott model is span-ned by the β and γ vibration states as well as the rotation states.
     指出Elliott SU(3)动力学群集体运动态的荷载子空间由β,γ振动和转动态生成. 以SU(3)模型为例,分析了原子核集体运动的运动学和动力学方面,并指出集体运动的类型或模式由动力学群的代数结构决定,而集体运动的动力学特征(能谱和惯性参量)则由哈密顿量的具体形式决定.
短句来源
     Starting from the dynamical group of a shematic model,it is pointed out that thenumber of independent collective degrees of freedom is uniquely determined,although thereexist different continuous variable or boson representations.
     从它的动力学群出发,指出虽然可以有不同的连续变量或玻色子表示,但是,独立集体自由度的数目是唯一地确定了的.
短句来源
     It was pointed out that the norm operator is afunction of the Casimir operators of dynamical group and its maximum stationary subgroup.
     本文特别指出了模(Norm)算子是相应的动力学群和它的最大稳定子群的Casimir算子的函数.
短句来源
     The expression of the dynamical group of Hydrogen Atom: SO(4,2) is presented in this paper. It also analyses the ground state of momentum of angular motion and parabola of SO(4,2) group related with Hydrogen Atom and meta-analyses the tilted state of Hydrogen Atom.
     提出氢原子的动力学群表示—SO( 4 ,2 )群 ,分析了与氢原子相关的SO( 4 ,2 )群的角动量基底状态和抛物线基底状态 ,并用之解析了氢原子的倾斜态
短句来源
  “动力学群”译为未确定词的双语例句
     It is shown that the generator coordinate method with dynamic symmetry grouprepresentation (DGR-GCM) is a powerful approach to derive the continuous variablesrepresentation of the interacting boson models (IBM-i, IBM-Ⅱ, IBM of spd).
     采用动力学群表示下的生成座标方法,得以有效地求出相互作用玻色子模型(IBM-Ⅰ、IBM-Ⅱ、含巨共振的互作用模型.)
短句来源
     By using the generator coordinate method approach to the dynamic group represenation (DGR-GCM), the continuous variables representation of IBM is obtained under the low exci- tation approximation and is compared with BMM. Not only the relation between the mean field and the dynamical symmetry has been analysed but the spherical nuclei as well as defor- med nuclei have been discussed in an unified way.
     本文应用动力学群表示的生成坐标方法(DGR-GCM),在低激发近似下,给出IBM的连续交量表示,并从形式上与BMM比较,统一地讨论了球形核和形变核;
短句来源
     At the same time the reductions of irreducible representations (IR) for U(2 n) and the calculation rules of ligand fields matrice elements for CAUGA are given.
     Clifford代数酉群方法 (CAUGA)是在 UGA基础上将 U(n)群嵌入一个更大的动力学群 U(2 n) ,在超对称性空间取得 CI组态有意义的短缩 ,简化理论计算 .
短句来源
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  dynamical groups
Dynamical groups and spherical potentials in Classical Mechanics
      
Generalized definition of coherent states and dynamical groups
      
Cohomology, central extensions, and (dynamical) groups
      
Unified Method for Dynamical Groups of Some Anharmonic Potentials
      
Physics of quantum system S with given Hilbert state space HS may implies different dynamical groups.
      
  dynamical group
Here, an important point is that the geometrical group of a nonrigid molecule is the so-called noninvariance dynamical group.
      
The dynamical group of theN-dimensional harmonic oscillator is a realization in term of creation and destruction operators of the projective group of linear fractional transformations.
      
The construction of the generators of the dynamical group of the nonrelativistic rotator and the hydrogen atom is discussed.
      
Dynamical group of the anisotropic harmonic oscillator
      
We make clear the significance of an "invariance dynamical group" and the connections with the classical degeneracy and the one-valuedness of the constants of motion.
      
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Since the symplectic structure plays a universal role in all domains of physics.Consequently,nearly all conserved quantities can be obtained as moments of a suitable chosen dynamical group.This paper use a tool called cohomology to analyze the characteristics of a variety of dynamical groups.Because it is a very effective tool and it allows us to sufficient define and escribe a variety of dynamical systems in terms of a variety of groups on symplectic manifold.

鉴于辛结构在物理学的各个领域都起着一个普遍法则的作用,所以几乎所有的守恒量都能作为一个适当选择的动力学群的矩而得到。本文用上同调的方法分析了各种动力学群的特性,因为它是一种十分有效的工具并借助于辛流形上的各种群充分地定义和描述了各种动力学系统。

The continuous variable representation and the geometrical interpretation of the ElliottSU(3) model are given by virtue of the generator coordinate method.It is pointed out that thecarrier subspace of collective states of the dynamical group SU(3) in the Elliott model is span-ned by the β and γ vibration states as well as the rotation states.

本文运用生成坐标方法给出了Elliott SU(3)模型的连续变量表示,并据此对其作出几何解释.指出Elliott SU(3)动力学群集体运动态的荷载子空间由β,γ振动和转动态生成.以SU(3)模型为例,分析了原子核集体运动的运动学和动力学方面,并指出集体运动的类型或模式由动力学群的代数结构决定,而集体运动的动力学特征(能谱和惯性参量)则由哈密顿量的具体形式决定.

The choice and representation of degrees of freedom of collective motions are thoroughlydiscussed.Starting from the dynamical group of a shematic model,it is pointed out that thenumber of independent collective degrees of freedom is uniquely determined,although thereexist different continuous variable or boson representations.If more collective degrees of fre-edom were involved,there must be accompanied conditions.

本文具体地从一个理想模型讨论了集体运动自由度的选定及其表示问题.从它的动力学群出发,指出虽然可以有不同的连续变量或玻色子表示,但是,独立集体自由度的数目是唯一地确定了的.如果涉及超过这个数目的集体自由度,则必有伴随的条件.

 
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