@article{oai:soar-ir.repo.nii.ac.jp:00011684, author = {Odake, Satoru and Sasaki, Ryu}, issue = {4}, journal = {PROGRESS OF THEORETICAL PHYSICS}, month = {Apr}, note = {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)}, pages = {663--700}, title = {Exactly solvable 'discrete' quantum mechanics; Shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states}, volume = {119}, year = {2008} }