System of harmonic oscillators in a rotationally-invariant noncommutative phase space

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

Identyfikatory

DOI

10.34808/BM0X-NZ78

• Języki publikacji: EN

Abstrakty

EN

Algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally-invariant and equivalent to noncommutative algebra of the canonical type is considered. In the framework of algebra, the effect of space quantization on the spectrum of systems of harmonic oscillators is studied. Among them, two interacting oscillators, a system of three interacting oscillators, and a harmonic oscillator chain are examined. The energy levels of the systems are found up to the second orders in the parameters of noncommutativity. We conclude that space quantization has an effect on the frequencies of the harmonic oscillators.

Słowa kluczowe

EN

noncommutative space; rotational symmetry; harmonic oscillator

PL

przestrzeń nieprzemienna; symetria obrotowa; oscylator harmoniczny

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2023
• Tom: Vol. 27, No 4
• Strony: 1--8
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Gnatenko Khrystyna P.

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

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

autor

Tkachuk Volodymyr M.

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

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

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