论文标题
小组的狄拉克代表（3,2）和兰道问题
Dirac representation of the group SO(3,2) and the Landau problem
论文作者
论文摘要
一项针对兰道问题的无限退化和运动常数进行的系统研究确立了欧几里得群体在二维中作为动态对称组的中心扩展，而SP（2，r）作为频谱生成组，无论量规选择不可能。可以指出的是，欧几里得集团的sigienciencience已经在较早的关于兰道问题的著作中隐含了。在本文中，小组收缩的方法起着重要作用。 Dirac对SO（3,2）的显着表示和SP（4，R）的同构态度得到了访问。关于狄拉克表示的两振荡器系统的含义，获得了新的见解。据认为，鉴于事实，即使在Landau问题中也不会出现具有SU（2）的二维各向同性振荡器（2），因此SO（3,2）组的相关性或适用性也无效。
A systematic study carried out on the infinite degeneracy and the constants of motion in the Landau problem establishes the central extension of the Euclidean group in two dimension as a dynamical symmetry group, and Sp(2,R) as spectrum generating group irrespective of the choice of the gauge. It may be noted that the siginificance of the Euclidean group was already implicit in the earlier works on the Landau problem; in the present paper the method of group contraction plays an important role. Dirac's remarkable representation of the group SO(3,2) and the isomorphism of this group with Sp(4,R) are re-visited. New insights are gained on the meaning of two-oscillator system in Dirac representation. It is argued that in view of the fact that even the two dimensional isotropic oscillator having SU(2) as dynamical symmetry group does not arise in the Landau problem the relevance or applicability of SO(3,2) group becomes invalid.
