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arXiv · 2101.12539

The Noncommutative Coulomb Potential

Beatriz Wang·Emanuel Brenag·Ronni Amorim·Vinicius Rispoli·Sergio Ulhoa
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Abstract

In this work, we analyze the noncommutative three-dimensional Coulomb potential problem. For this purpose, we used the Kustaanheimo-Stiefel mapping to write the Schrödinger equation for Coulomb potential in a solvable way. Then, the noncommutative hydrogen-like atoms were treated, and their energy levels were found. In addition, we estimate a bound for the noncommutativity parameter.

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Beatriz Wang, Emanuel Brenag, Ronni Amorim, Vinicius Rispoli, Sergio Ulhoa. 2021-01-29. The Noncommutative Coulomb Potential. https://doi.org/10.1142/s0217751x21500949

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