A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type Potentials
Koc, Ramazan ; Koca, Mehmet
arXiv, 0505004 / Harvested from arXiv
This work continues to study the set of quasi exactly solvable potentials related to the Eckart, Hult\'{e}n, Rosen-Morse, Coulomb and the harmonic oscillator potentials. We solve the Schr\"{o}dinger equation for each potential and obtain the eigenvalues and eigenstates in terms of the orthogonal polynomials. We present a unified approach to obtain the potentials from each other by suitable change of variables.
Publié le : 2005-05-03
Classification:  Mathematical Physics
@article{0505004,
     author = {Koc, Ramazan and Koca, Mehmet},
     title = {A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type
  Potentials},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505004}
}
Koc, Ramazan; Koca, Mehmet. A Unified Treatment of Quasi-Exactly Solvable Potentials II: Eckart Type
  Potentials. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505004/