论文标题
摩尔斯振荡器的参数空间
Parameter Space of Morse Oscillator
论文作者
论文摘要
我们介绍了SU（2）组的数学结构的分析，特别是Morse振荡器的升高和降低操作员之间的换向关系。研究了操作员的换向器与Morse振荡器的其他参数之间的关系。我们表明，取决于Morse振荡器参数的运算符的数学结构可能会改变我们的常规期望。将Morse振荡器的参数空间可视化，以审查与Morse振荡器相关的数学关系。此参数空间是可能参数值的空间，取决于Morse电位井和其他参数的深度。我们提出的算法也适用于具有某些修改的其他量子系统。
We present the analysis of mathematical structure of SU(2) group, specifically the commutation relation between raising and lowering operators of the Morse oscillator. The relationship between the commutator of operators and other parameters of Morse oscillator is investigated. We show that the mathematical structure of operators which depends on the parameters of Morse oscillator may change our conventional expectation. The parameter space of Morse oscillator is visualized to scrutinize the mathematical relations that are related to the Morse oscillator. This parameter space is the space of possible parameter values that depend on the depth of the Morse potential well and other parameters. The algorithm that we present is also applicable to other quantum systems with certain modifications.
