Quantum mechanics of the nonrelativistic Yang model

Fuente: arXiv
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Autori principali: Meljanac, S., Mignemi, S.
Natura: Preprint
Pubblicazione: 2024
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author Meljanac, S.
Mignemi, S.
author_facet Meljanac, S.
Mignemi, S.
contents We discuss, at leading order in $\hbar$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06443
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum mechanics of the nonrelativistic Yang model
Meljanac, S.
Mignemi, S.
High Energy Physics - Theory
We discuss, at leading order in $\hbar$, 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.
title Quantum mechanics of the nonrelativistic Yang model
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.06443