The Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum Mechanics and its Exact Solutions
Compean, C. B. ; Kirchbach, M.
arXiv, 0509055 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-09-07
Classification:  Quantum Physics,  High Energy Physics - Phenomenology,  Mathematical Physics,  Nuclear Theory 
@article{0509055,
     author = {Compean, C. B. and Kirchbach, M.},
     title = {The Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum
  Mechanics and its Exact Solutions},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509055}
}

Compean, C. B.; Kirchbach, M. The Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum
  Mechanics and its Exact Solutions. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509055/