An Algebraic q-Deformed Form for Shape-Invariant Systems
数学物理
2008-11-26 v1 math.MP
核理论
摘要
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.
引用
@article{arxiv.math-ph/0310015,
title = {An Algebraic q-Deformed Form for Shape-Invariant Systems},
author = {A. N. F. Aleixo and A. B. Balantekin and M. A. Candido Ribeiro},
journal= {arXiv preprint arXiv:math-ph/0310015},
year = {2008}
}