Series solution of a central potential problem with three-term recursion relation
Mathematical Physics
2013-08-12 v1 math.MP
Quantum Physics
Abstract
The series solution of the radial part of the Schr\"odinger equation for simultaneous coulomb and harmonic potential involves three-term recursion relation and is thus difficult to solve for bound states. We have suggested a simple method to solve for low lying states. Finite polynomial solutions exist only if the coulomb and oscillator potentials are nontrivially related.
Keywords
Cite
@article{arxiv.1208.4473,
title = {Series solution of a central potential problem with three-term recursion relation},
author = {Jishnu Goswami and Chandan Mondal and Dipankar Chakrabarti},
journal= {arXiv preprint arXiv:1208.4473},
year = {2013}
}