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三维各向同性谐振子的对称守恒张量与欧勒角
引用本文:楼智美,骆金彩,金国娟. 三维各向同性谐振子的对称守恒张量与欧勒角[J]. 绍兴文理学院学报, 2003, 23(7): 31-34
作者姓名:楼智美  骆金彩  金国娟
作者单位:绍兴文理学院,物理系,浙江,绍兴,312000
摘    要:三维各向同性谐振子有一对称的守恒张量,由守桓张量可直接求得振子的特征能量和轨道长短轴的长度,确定轨道长短轴方向及轨道平面法线方向的三欧勒角,可由守桓张量的分量及机械能、角动量决定.

关 键 词:三维各向同性谐振子 对称守恒张量 欧勒角 特征能量 本征能量 量子力学
文章编号:1008-293X(2003)07-0031-04
修稿时间:2002-12-12

The Symmetry Conservation Tensor and Euler Angles of the Isotropic Three-dimensional Harmonic Oscillator
Lou Zhimei Luo Jincai Jin Guojuan. The Symmetry Conservation Tensor and Euler Angles of the Isotropic Three-dimensional Harmonic Oscillator[J]. Journal of Shaoxing College of Arts and Sciences, 2003, 23(7): 31-34
Authors:Lou Zhimei Luo Jincai Jin Guojuan
Abstract:There is a symmetry conservation tensor for the isotropic three - dimensional harmonic oscillator. By using the symmetry conservation tensor, the characteristic energy and the length of major and minor axis for elliptis orbit can be obtained. The Euler Angles that describe the position of the major axis, minor axis and the normal line of the orbit can be determined by conservation tensor's component and mechanical energy and angular momentum.
Keywords:isotropic three- dimensional harmonic oscillator  symmetry conservation tensor  characteristic energy  Euler Angles
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