| Issue |
EPL
Volume 150, Number 3, May 2025
|
|
|---|---|---|
| Article Number | 39001 | |
| Number of page(s) | 6 | |
| Section | Gravitation, cosmology and astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/add0dd | |
| Published online | 13 May 2025 | |
Quantum mechanics of the nonrelativistic Yang model
1 Rudjer Bošković Institute, Theoretical Physics Division - Bljenička c. 54, 10002 Zagreb, Croatia
2 Dipartimento di Matematica, Università di Cagliari - via Ospedale 72, 09124 Cagliari, Italy
3 INFN, Sezione di Cagliari - Cittadella Universitaria, 09042 Monserrato, Italy
Received: 15 March 2025
Accepted: 25 April 2025
We discuss, at leading order in ℏ, 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 relation 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.
© 2025 The author(s)
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