Quantum mechanics of the nonrelativistic Yang model

Meljanac, Stjepan; Mignemi, S. (2025) Quantum mechanics of the nonrelativistic Yang model. Europhysics Letters, 150 (3). ISSN 0295-5075

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Abstract

We discuss, at leading order in h, 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.

Item Type:	Article
Uncontrolled Keywords:	generalized uncertainty principle; special relativity; space; gravity
Subjects:	NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Depositing User:	Ema Buhin Šaler
Date Deposited:	23 Mar 2026 13:05
URI:	http://fulir.irb.hr/id/eprint/11404
DOI:	10.1209/0295-5075/add0dd

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