Wronskian/Casoratian恒等式及其在量子力学系统中的应用
Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
摘要：
对应于某个Wronskian恒等式，我们给出了两类新的Casoratian恒等式。我们将这些恒等式应用于量子力学系统的达布变换。将朗斯基恒等式应用于普通量子力学，将两个卡索拉特恒等式分别应用于具有纯虚位移和纯实位移的离散量子力学.
英文摘要：
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.
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