Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
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Publication:6335859
DOI10.1088/1751-8121/ABA0EFzbMATH Open1519.81268arXiv2003.00219MaRDI QIDQ6335859
Publication date: 29 February 2020
Abstract: 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.
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Special quantum systems, such as solvable systems (81Q80)
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