Quantum mechanics of the nonrelativistic Yang model
High Energy Physics - Theory
2025-05-06 v2
Abstract
We discuss, at leading order in , the quantum mechanics of a specific realization in phase space of the Yang model describing noncommutative geometry in a curved background. In particular, we show how the deformation of the Heisenberg uncertainty relations crucially depends on the signs of the coupling constants of the model. We also discuss the dynamics of the free particle and of the harmonic oscillator. Also in this case the results depend on the signs of the coupling constants.
Keywords
Cite
@article{arxiv.2411.06443,
title = {Quantum mechanics of the nonrelativistic Yang model},
author = {S. Meljanac and S. Mignemi},
journal= {arXiv preprint arXiv:2411.06443},
year = {2025}
}
Comments
9 pages, 4 figures. Some typos have been corrected and new references are added. Version to be published on Europhysics Letters