Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10725810 | Physics Letters B | 2009 | 4 Pages |
Abstract
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 Pöschl-Teller potentials in terms of their degree â polynomial eigenfunctions. We present the entire eigenfunctions for these Hamiltonians (â=1,2,â¦) in terms of new orthogonal polynomials. Two recently reported shape invariant potentials of Quesne and Gómez-Ullate et al.'s are the first members of these infinitely many potentials.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Satoru Odake, Ryu Sasaki,