An Algebraic q-Deformed Form for Shape-Invariant Systems
Aleixo, A. N. F. ; Balantekin, A. B. ; Ribeiro, M. A. Candido
arXiv, 0310015 / Harvested from arXiv
Text on arXiv
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserve the shape-invariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and Coulomb potentials are given as examples.
Publié le : 2003-10-09
Classification:  Mathematical Physics,  Nuclear Theory,  58D30 
@article{0310015,
     author = {Aleixo, A. N. F. and Balantekin, A. B. and Ribeiro, M. A. Candido},
     title = {An Algebraic q-Deformed Form for Shape-Invariant Systems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310015}
}

Aleixo, A. N. F.; Balantekin, A. B.; Ribeiro, M. A. Candido. An Algebraic q-Deformed Form for Shape-Invariant Systems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310015/