2021-08-04T03:31:11Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000117432021-07-05T00:36:40Z1169:1170Modification of Crum's Theorem for 'Discrete' Quantum MechanicsGarcia-Gutierrez, LeonorOdake, SatoruSasaki, RyuCrum's theorem in one-dimensional quantum mechanics asserts the existence of an associated Hamiltonian system for any given Hamiltonian with the complete set of eigenvalues and eigenfunctions. The associated system is iso-spectral to the original one except for the lowest energy state, which is deleted. A modification due to Krein-Adler provides algebraic construction of a new complete Hamiltonian system by deleting a finite number of energy levels. Here we present a discrete version of the modification based on Crum's theorem for the 'discrete' quantum mechanics developed by two of the present authors.ArticlePROGRESS OF THEORETICAL PHYSICS. 124(1):1-26 (2010)PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE2010-06engjournal articlehttp://hdl.handle.net/10091/17227https://soar-ir.repo.nii.ac.jp/records/11743http://dx.doi.org/10.1143/PTP.124.110.1143/PTP.124.10033-068XAA00791455PROGRESS OF THEORETICAL PHYSICS1241126https://soar-ir.repo.nii.ac.jp/record/11743/files/Modification_Crums_Theorem_Discrete_Quantum_Mechanics.pdfapplication/pdf400.5 kB2015-09-28