Noncommutative Yang model and its generalizations

Meljanac, Stjepan; Mignemi, Salvatore (2023) Noncommutative Yang model and its generalizations. Journal of Mathematical Physics, 64 (2). ISSN 0022-2488

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Abstract

Long time ago, Yang [Phys. Rev. 72, 874 (1947)] proposed a model of noncommutative spacetime that generalized the Snyder model to a curved background. In this paper, we review his proposal and the generalizations that have been suggested during the years. In particular, we discuss the most general algebras that contain as subalgebras both de Sitter and Snyder algebras, preserving Lorentz invariance, and are generated by a two-parameter deformation of the canonical Heisenberg algebra. We also define their realizations on quantum phase space, giving explicit examples, both exact and in terms of a perturbative expansion in deformation parameters.

Item Type:	Article
Uncontrolled Keywords:	special relativity; field-theory; space
Subjects:	NATURAL SCIENCES NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Kristina Ciglar
Date Deposited:	02 Apr 2026 13:24
URI:	http://fulir.irb.hr/id/eprint/11576
DOI:	10.1063/5.0135492

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