论文标题
限制依赖位置的有效质量和外部潜力的限制，以实现刘易斯 - 里森菲尔德不变性和量子规范变换的存在
Constraints on the choice of position dependent effective mass and external potential for the existence of Lewis-Riesenfeld invariance and quantum canonical transformation
论文作者
论文摘要
Lewis-riesenfeld -Mermakov（LR）不变的方法用于构建时间依赖性相位空间不变式，用于一般量子系统，具有依赖位置的有效质量（PDEM）Hamiltonian。事实证明，只有特定类别的PDEM和特定类别的外部电势才能以近距离表现出LR不变的操作员。然后，我们确定了相关PDEM和外部电势的一类统一时间依赖性的量子转换，以便获得等效时间独立的PDEM Hamiltonian。
Lewis-Riesenfeld -Ermakov's (LR) invariant method for the construction of time-dependent phase-space invariant is extended for the general quantum system with position-dependent effective mass (PDEM) Hamiltonian. It turns out that, only a specific class of PDEM and a particular class of external potentials will exhibit the LR-invariant operator in close form. Then we have determined a class of unitary time-dependent quantum canonical transformation for the concerned PDEM and external potentials so that an equivalent time-independent PDEM Hamiltonian is obtained.
