通过位置相关质量赝动量算符重新审视有序模糊性
Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
摘要：
与冯鲁斯位置相关的质量（PDM）的哈密顿量被认为是有序的模糊性。一个仿射局部缩放的一阶微分引入，在方程。(9)作为一个PDM-伪动量算子。在将我们的哈密顿算子（这是该算子和势函数的平方之和）与冯·鲁斯d维PDM-哈密顿算子交织时，我们观察到所谓的冯·鲁斯模糊度参数是严格确定的，但不一定是唯一的。我们新的模糊度参数的设置受到Dutra和Almeida的[11]可靠性测试，并被归类为良好的排序。
英文摘要：
Ordering ambiguity associated with the von Roos position dependent mass (PDM) Hamiltonian is considered. An affine locally scaled first order differential introduced, in Eq.(9), as a PDM-pseudo-momentum operator. Upon intertwining our Hamiltonian, which is the sum of the square of this operator and the potential function, with the von Roos d-dimensional PDM-Hamiltonian, we observed that the so-called von Roos ambiguity parameters are strictly determined, but not necessarily unique. Our new ambiguity parameters' setting is subjected to Dutra's and Almeida's [11] reliability test and classified as good ordering.
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