...
首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >A study of the confined 2D isotropic harmonic oscillator in terms of the annihilation and creation operators and the infinitesimal operators of the SU(2) group
【24h】

A study of the confined 2D isotropic harmonic oscillator in terms of the annihilation and creation operators and the infinitesimal operators of the SU(2) group

机译:关于SU(2)群的and灭和生成算符以及无穷小算符的有限二维各向同性谐振子的研究

获取原文
获取原文并翻译 | 示例
           

摘要

The eigenspectral properties of the 2D isotropic harmonic oscillator, centrally enclosed in the symmetric box with impenetrable walls, are studied for the first time using the annihilation and creation operators and the infinitesimal operators of the SU(2) group. It is shown explicitly how the imposition of the Dirichlet boundary condition at a certain uniquely prescribed confinement radius leads to the energy difference of two harmonic oscillator units between all successive pairs of the confined states, defined by the projection angular momentum quantum numbers [m, m +/- 2] such that the lowest energy state corresponding to the chosen m is excluded in the first pair.
机译:使用SU(2)组的an灭和创建算子和无穷小算子,首次研究了二维各向同性谐振子的本征谱特性,该谐振器中心地包裹在具有不可穿透壁的对称盒中。明确显示了在特定唯一规定的约束半径上施加狄利克雷边界条件如何导致所有连续对约束状态对之间的两个谐波振荡器单元的能量差,该能量差由投影角动量量子数[m,m +/- 2],因此在第一对中排除了与所选m对应的最低能量状态。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号