Constructing physical systems with dynamical symmetry
Constructing physical systems with dynamical symmetry
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DOI：
10.1139/cjp-2013-0212
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发表时间：
2014-04
影响因子：
1.2
通讯作者：
Yan Li;Fu-Lin Zhang;Rui-juan Gu;Jing-Ling Chen;L. Kwek
中科院分区：
文献类型：
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作者：
Yan Li;Fu-Lin Zhang;Rui-juan Gu;Jing-Ling Chen;L. Kwek
提出了一种构造具有动力学对称性的量子系统的方法。作为例子，我们构造了氢原子和谐振子的广义系统，它可以看作是具有位置依赖质量的系统。它们具有与对应方程相似的对称性，可以用代数方法求解。我们还展示了该方法应用于非中心场的一个例子。
An approach to constructing quantum systems with dynamical symmetry is proposed. As examples, we construct generalized systems of the hydrogen atom and harmonic oscillator, which can be regarded as the systems with position-dependent mass. They have symmetries that are similar to the corresponding ones, and can be solved by using the algebraic method. We also exhibit an example of the method applied to the noncentral field.