论文标题
Wronskian/Casoratian身份及其在量子机械系统中的应用
Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
论文作者
论文摘要
对应于某种Wronskian身份,我们提出了两种类型的新Casoratian身份。我们将这些身份应用于量子机械系统的Darboux变换。 Wronskian的身份应用于普通的量子力学,并且两个Casoratian身份分别应用于具有纯粹虚构和真实偏移的离散量子力学。
Corresponding to a certain Wronskian identity, we present two types of new Casoratian identities. We apply these identities to the Darboux transformations of quantum mechanical systems. The Wronskian identity is applied to the ordinary quantum mechanics, and the two Casoratian identities are applied to the discrete quantum mechanics with pure imaginary and real shifts, respectively.