Hartmann potential with a minimal length and generalized recurrence relations for matrix elements
Quantum Physics
2020-06-02 v1
Abstract
In this work we study the Schr\"{o}dinger equation in the presence of the Hartmann potential with a generalized uncertainty principle. We pertubatively obtain the matrix elements of the hamiltonian at first order in the parameter of deformation and show that some degenerate states are removed. We give analytic expressions for the solutions of the diagonal matrix elements. Finally, we derive a generalized recurrence formula for the angular average values.
Cite
@article{arxiv.2002.03346,
title = {Hartmann potential with a minimal length and generalized recurrence relations for matrix elements},
author = {Lamine Khodja and Mohamed Achour and Slimane Zaim},
journal= {arXiv preprint arXiv:2002.03346},
year = {2020}
}