General approach to potentials with two known levels
Dolya, S. N. ; Zaslavskii, O. B.
arXiv, 0012151 / Harvested from arXiv
Text on arXiv
We present the general form of potentials with two given energy levels $E_{1}$, $E_{2}$ and find corresponding wave functions. These entities are expressed in terms of one function $\xi (x)$ and one parameter $\Delta E=E_{2}$-$E_{1}$. We show how the quantum numbers of both levels depend on properties of the function $\xi (x)$. Our approach does not need resorting to the technique of supersymmetric (SUSY) quantum mechanics but automatically generates both the potential and superpotential.
Publié le : 2000-12-29
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0012151,
     author = {Dolya, S. N. and Zaslavskii, O. B.},
     title = {General approach to potentials with two known levels},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0012151}
}

Dolya, S. N.; Zaslavskii, O. B. General approach to potentials with two known levels. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012151/