@article{oai:soar-ir.repo.nii.ac.jp:00011808, author = {Odake, Satoru and Sasaki, Ryu}, issue = {4}, journal = {PHYSICS LETTERS B}, month = {Aug}, note = {Three sets of exactly solvable one-dimensional quantum mechanical potentials are presented. These are shape invariant potentials obtained by deforming the radial oscillator and the trigonometric/hyperbolic Poschl-Teller potentials in terms of their degree e polynomial eigenfunctions. We present the entire eigenfunctions for these Hamiltonians (l = 1, 2, ...) in terms of new orthogonal polynomials. Two recently reported shape invariant potentials of Quesne and Gomez-Ullate et al.'s are the first members of these infinitely many potentials., Article, PHYSICS LETTERS B. 679(4):414-417 (2009)}, pages = {414--417}, title = {Infinitely many shape invariant potentials and new orthogonal polynomials}, volume = {679}, year = {2009} }