@article{oai:soar-ir.repo.nii.ac.jp:00011743,
 author = {Garcia-Gutierrez,  Leonor and Odake,  Satoru and Sasaki,  Ryu},
 issue = {1},
 journal = {PROGRESS OF THEORETICAL PHYSICS},
 month = {Jun},
 note = {Crum'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., Article, PROGRESS OF THEORETICAL PHYSICS. 124(1):1-26 (2010)},
 pages = {1--26},
 title = {Modification of Crum's Theorem for 'Discrete' Quantum Mechanics},
 volume = {124},
 year = {2010}
}