Representations of U(3) in U(N)
Representations of U(3) in U(N)
复制标题
U(3) 在 U(N) 中的表示
DOI：
10.1016/0010-4655(89)90024-6
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发表时间：
1989
影响因子：
6.3
通讯作者：
R. López
中科院分区：
文献类型：
--
作者：
J. Draayer;Y. Leschber;S. C. Park;R. López
介绍了一种用于确定U(3)在U(N)的表示中出现的表示的交互式FORTRAN代码。U(N){Year}U(3)链是三维各向同性振子的基本基团结构。特别地，N=(n+1)(n+2)/2是每个能级n量子的简并壳。由于振子势是约束原子核中核子的自洽场的一个很好的起始近似，这项工作的动机来自于核物理，特别是来自对变形核系统中四极集体现象的研究。该程序的PASCAL版本也是可用的，因为基本算法是递归算法，所以更简单。(原名)。
An interactive FORTRAN code for determining the representations of U(3) that occur in a representation of U(N) is introduced. The U(N){yields}U(3) chain is the basic group structure of the isotropic oscillator in three dimensions. In particular, N=(n+1)(n+2)/2 is the degeneracy of the shell with n quanta per level. Since the oscillator potential is a good starting approximation for the self-consistent field that binds nucleons in the nucleus, motivation for the work comes from nuclear physics, and in particular, from studies of quadrupole collective phenomena in deformed nuclear systems. A PASCAL version of the program, which is simpler because the basic algorithm is a recursive one, is also available. (orig.).