Hydrogen and exotic atoms in rotationally-invariant space with noncommutativity of coordinates and noncommutativity of momenta

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

Identyfikatory

DOI

10.34808/fem0-3c13

• Języki publikacji: EN

Abstrakty

EN

The effect of the noncommutativity of coordinates and noncommutativity of momenta on the spectrum of the hydrogen atom is studied. Corrections to the energy levels of the atom up to the second order in the parameter of noncommutativity are found. Based on the obtained results and the experimental data for the1S−2Stransition frequency, the upper bound for the minimal length is obtained. Also, a two-particle system with Coulomb interaction is examined and hydrogen-like exotic atoms are studied in rotationally-invariant noncommutative phase space.

Słowa kluczowe

EN

noncommutative space; rotational symmetry; hydrogen atom; exotic atoms

PL

przestrzeń nieprzemienna; symetria obrotowa; atom wodoru; atomy egzotyczne

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2024
• Tom: Vol. 28, No 1
• Strony: 1--16
• Opis fizyczny: Bibliogr. 34 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

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).