2024-03-29T15:51:28Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00011684
2022-12-14T04:09:56Z
1169:1170
Exactly solvable 'discrete' quantum mechanics; Shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states
Odake, Satoru
Sasaki, Ryu
Various examples of exactly solvable ‘discrete’ quantum mechanics are explored explicitly with emphasis on shape invariance, Heisenberg operator solutions, annihilation-creation operators, the dynamical symmetry algebras and coherent states. The eigenfunctions are the (q-) Askey-scheme of hypergeometric orthogonal polynomials satisfying difference equation versions of the Schrödinger equation. Various reductions (restrictions) of the symmetry algebra of the Askey-Wilson system are explored in detail.
Article
PROGRESS OF THEORETICAL PHYSICS. 119(4):663-700 (2008)
journal article
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
2008-04
application/pdf
PROGRESS OF THEORETICAL PHYSICS
4
119
663
700
0033-068X
AA00791455
https://soar-ir.repo.nii.ac.jp/record/11684/files/Exactly_solvable_'discrete'_quantum_mechanics.pdf
eng
10.1143/PTP.119.663
https://doi.org/10.1143/PTP.119.663