http://swrc.ontoware.org/ontology#Article
Infinitely many shape invariant potentials and new orthogonal polynomials
en
Shape invariance
Orthogonal polynomials
Odake Satoru
Sasaki Ryu
ELSEVIER SCIENCE BV
PHYSICS LETTERS B. 679(4):414-417 (2009)
PHYSICS LETTERS B
679
4
414-417
2009-08-31
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
0370-2693
AA00774026
http://dx.doi.org/10.1016/j.physletb.2009.08.004|10.1016/j.physletb.2009.08.004