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Systems of free particles and harmonic oscillators in rotationally-invariant noncommutative phase space

Year: 2025

Type: article

Abstract: In this paper, we introduce a rotationally-invariant noncommutative algebra that is equivalent to the canonical type. This algebra is built by extending the noncommutativity parameters to tensors. These tensors are defined with the help of additional coordinates and momenta corresponding to a rotationally-invariant system. In the frame of the rotationally-invariant noncommutative algebra we investigate a system of free particles, and systems of harmonic oscillators. The energy levels of these systems are found in noncommutative phase spave with preserved rotational symmetry.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

Authors: V. M. Tkachuk, Kh. P. Gnatenko

Institution: Lviv University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7033982370

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