Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics
Quantum Physics
2009-12-22 v4
Abstract
The Levi-Civita transformation is applied in the two-dimensional (2D) Dirac and Klein-Gordon (KG) equations with equal external scalar and vector potentials. The Coulomb and harmonic oscillator problems are connected via the Levi-Civita transformation. These connections lead to an approach to solve the Coulomb problems using the results of the harmonic oscillator potential in the above-mentioned relativistic systems.
Keywords
Cite
@article{arxiv.0809.4528,
title = {Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics},
author = {Bo Fu and Fu-Lin Zhang and Jing-Ling Chen},
journal= {arXiv preprint arXiv:0809.4528},
year = {2009}
}
Comments
8 pages