2023-02-08T08:04:57Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00011743
2022-12-14T04:00:21Z
1169:1170
Modification of Crum's Theorem for 'Discrete' Quantum Mechanics
Garcia-Gutierrez, Leonor
Odake, Satoru
Sasaki, Ryu
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)
journal article
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
2010-06
application/pdf
PROGRESS OF THEORETICAL PHYSICS
1
124
1
26
0033-068X
AA00791455
https://soar-ir.repo.nii.ac.jp/record/11743/files/Modification_Crums_Theorem_Discrete_Quantum_Mechanics.pdf
eng
10.1143/PTP.124.1
https://doi.org/10.1143/PTP.124.1