Application of the Frobenius method to the Schrodinger equation for a spherically symmetric potential: anharmonic oscillator
Koscik, Przemyslaw ; Okopinska, Anna
arXiv, 0512087 / Harvested from arXiv
Text on arXiv
The power series method has been adapted to compute the spectrum of the Schrodinger equation for central potential of the form $V(r)={d_{-2}\over r^2}+{d_{-1}\over r}+\sum_{i=0}^{\infty} d_{i}r^i$. The bound-state energies are given as zeros of a calculable function, if the potential is confined in a spherical box. For an unconfined potential the interval bounding the energy eigenvalues can be determined in a similar way with an arbitrarily chosen precision. The very accurate results for various spherically symmetric anharmonic potentials are presented.
Publié le : 2005-12-12
Classification:  Quantum Physics,  Mathematical Physics 
@article{0512087,
     author = {Koscik, Przemyslaw and Okopinska, Anna},
     title = {Application of the Frobenius method to the Schrodinger equation for a
  spherically symmetric potential: anharmonic oscillator},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512087}
}

Koscik, Przemyslaw; Okopinska, Anna. Application of the Frobenius method to the Schrodinger equation for a
  spherically symmetric potential: anharmonic oscillator. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512087/