2021-10-17T01:45:16Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000117442021-09-02T05:46:50Z1169:1170Crum's Theorem for 'Discrete' Quantum MechanicsOdake, SatoruSasaki, RyuIn one-dimensional quantum mechanics, or the Sturm-Liouville theory, Crum's theorem. describes the relationship between the original and the associated Hamiltonian systems, which are iso-spectral except for the lowest energy state. Its counterpart in 'discrete' quantum mechanics is formulated algebraically, elucidating the basic structure of the discrete quantum mechanics, whose Schrodinger equation is a difference equation.ArticlePROGRESS OF THEORETICAL PHYSICS. 122(5):1067-1079 (2009)journal articlePROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE2009-11application/pdfPROGRESS OF THEORETICAL PHYSICS5122106710790033-068XAA00791455https://soar-ir.repo.nii.ac.jp/record/11744/files/Crums_Theorem_Discrete_Quantum_Mechanics.pdfeng10.1143/PTP.122.1067https://doi.org/10.1143/PTP.122.1067