Wronskian/Casoratian identities and their application to quantum mechanical systems
Wronskian/Casoratian identities and their application to quantum mechanical systems
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朗斯基/卡索拉恒等式及其在量子力学系统中的应用
DOI：
10.1088/1751-8121/aba0ef
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Odake Satoru
中科院分区：
文献类型：
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作者：
Odake Satoru;Sasaki Ryu;矢口達志，中島美帆， 天児寧;矢口達志，中島美帆， 天児寧;Odake S.;Odake Satoru;Odake Satoru
与某个朗斯基恒等式相对应，我们提出了两种新的卡索拉蒂恒等式。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，将两个卡索拉蒂恒等式分别应用于具有纯虚位移和真实的位移的离散量子力学.
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.