Article ID Journal Published Year Pages File Type
10725810 Physics Letters B 2009 4 Pages PDF
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 ℓ 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 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
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