Physics – Quantum Physics
Scientific paper
2005-09-07
J.Phys. A39 (2006) 547-558
Physics
Quantum Physics
16 pages 7 figures 1 table
Scientific paper
10.1088/0305-4470/39/3/007
The analytic solutions of the one-dimensional Schroedinger equation for the trigonometric Rosen-Morse potential reported in the literature rely upon the Jacobi polynomials with complex indices and complex arguments. We first draw attention to the fact that the complex Jacobi polynomials have non-trivial orthogonality properties which make them uncomfortable for physics applications. Instead we here solve above equation in terms of real orthogonal polynomials. The new solutions are used in the construction of the quantum-mechanic superpotential.
Compean C. B.
Kirchbach Mariana
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