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

• Autorzy: Gnatenko Khrystyna P. , Tkachuk Volodymyr M.

Identyfikatory

DOI

10.34808/rjv5-9575

• Języki publikacji: EN

Abstrakty

EN

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 harmonicoscillators. The energy levels of these systems are found in noncommutative phase spave with preserved rotational symmetry.

Słowa kluczowe

EN

phase space; harmonic oscillator; minimal length

PL

przestrzeń fazowa; oscylator harmoniczny; długość minimalna

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2023
• Tom: Vol. 27, No 3
• Strony: 1--13
• Opis fizyczny: Bibliogr. 60 poz.

Twórcy

autor

Gnatenko Khrystyna P.

• Ivan Franko National University of Lviv, Professor Ivan Vakarchuk Department for Theoretical Physics, 12 Drahomanov St., Lviv, 79005, Ukraine

• https://orcid.org/0000-0003-2801-5872

autor

Tkachuk Volodymyr M.

• Ivan Franko National University of Lviv, Professor Ivan Vakarchuk Department for Theoretical Physics, 12 Drahomanov St., Lviv, 79005, Ukraine

• https://orcid.org/0000-0003-1099-0960

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