Exact Noncommutative Two-Dimensional Hydrogen Atom
Beatriz Wang, Emanuel Brenag, Ronni Amorim, Vinicius Rispoli, Sergio, Ulhoa
TL;DR
This paper provides an exact solution for the energy levels of a two-dimensional noncommutative hydrogen atom using Levi-Civita transformation, establishing bounds on noncommutativity based on experimental data.
Contribution
It introduces an exact analytical approach to solve the noncommutative Schrödinger equation for a 2D hydrogen atom, deriving energy levels and bounds on noncommutativity.
Findings
Derived explicit energy levels for the noncommutative 2D hydrogen atom.
Established bounds on the noncommutativity parameter from experimental data.
Demonstrated the effectiveness of Levi-Civita transformation in this context.
Abstract
In this work, we present an exact analysis of two-dimensional noncommutative hydrogen atom. In this study, it is used the Levi-Civita transformation to perform the solution of the noncommutative Schr\"odinger equation for Coulomb potential. As an important result, we determine the energy levels for the considered system. Using the result obtained and experimental data, a bound on the noncommutativity parameter was obtained.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Noncommutative and Quantum Gravity Theories · Quantum and Classical Electrodynamics