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arXiv · 0809.4528

Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics

Bo Fu·Fu-Lin Zhang·Jing-Ling Chen
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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.

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Bo Fu, Fu-Lin Zhang, Jing-Ling Chen. 2009-12-22. Connection between Coulomb and harmonic oscillator potentials in relativistic quantum mechanics. https://arxiv.org/abs/0809.4528

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