The Noncommutative Coulomb Potential
Beatriz Wang, Emanuel Brenag, Ronni Amorim, Vinicius Rispoli, Sergio, Ulhoa
TL;DR
This paper investigates the effects of noncommutativity on the Coulomb potential in three dimensions, solving the Schrödinger equation for noncommutative hydrogen-like atoms and estimating bounds on the noncommutativity parameter.
Contribution
It introduces a method to analyze noncommutative Coulomb problems using the Kustaanheimo-Stiefel mapping and derives energy levels for noncommutative hydrogen-like atoms.
Findings
Energy levels for noncommutative hydrogen-like atoms were calculated.
A bound for the noncommutativity parameter was estimated.
The approach provides a solvable framework for noncommutative Coulomb systems.
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 Schr\"odinger 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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