Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю
We consider a system of two particles in the noncommutative space, which is rotationally invariant. It is shown that the coordinates of the center-of-mass position and the coordinates of relative motion satisfy a noncommutative algebra with corresponding effective tensors of noncommutativity. A hydr...
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| Sprache: | English |
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Publishing house "Academperiodika"
2019
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| Online Zugang: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019086 |
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| Назва журналу: | Ukrainian Journal of Physics |
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ujp2-article-2019086 |
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ujp2-article-20190862019-04-16T20:54:58Z Two-Particle System in Noncommutative Space with Preserved Rotational Symmetry Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю Gnatenko, Kh. P. Tkachuk, V. M. noncommutative space rotational symmetry two-particle system hydrogen atom - We consider a system of two particles in the noncommutative space, which is rotationally invariant. It is shown that the coordinates of the center-of-mass position and the coordinates of relative motion satisfy a noncommutative algebra with corresponding effective tensors of noncommutativity. A hydrogen atom is studied as a two-particle system. We have found the corrections to the energy levels of the hydrogen atom up to the second order in the parameter of noncommutativity. Ми розглядаємо систему двох частинок у некомутативному просторi, який є сферично-симетричним. Показується, що координати центра мас та координати вiдносного руху задовольняють некомутативну алгебру з вiдповiдними ефективними тензорами некомутативностi. Атом водню вивчається як двочастинкова система. Ми знаходимо поправки до енергетичних рiвнiв атома з точнiстю до другого порядку за параметром некомутативностi. Publishing house "Academperiodika" 2019-01-06 Article Article Peer-reviewed application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019086 10.15407/ujpe61.05.0432 Ukrainian Journal of Physics; Vol. 61 No. 5 (2016); 432 Український фізичний журнал; Том 61 № 5 (2016); 432 2071-0194 2071-0186 10.15407/ujpe61.05 en https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019086/979 Copyright (c) 2019 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| institution |
Ukrainian Journal of Physics |
| baseUrl_str |
|
| datestamp_date |
2019-04-16T20:54:58Z |
| collection |
OJS |
| language |
English |
| topic_facet |
noncommutative space rotational symmetry two-particle system hydrogen atom - |
| format |
Article |
| author |
Gnatenko, Kh. P. Tkachuk, V. M. |
| spellingShingle |
Gnatenko, Kh. P. Tkachuk, V. M. Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| author_facet |
Gnatenko, Kh. P. Tkachuk, V. M. |
| author_sort |
Gnatenko, Kh. P. |
| title |
Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| title_short |
Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| title_full |
Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| title_fullStr |
Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| title_full_unstemmed |
Система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| title_sort |
система двох частинок у некомутативному просторi зi збереженою сферичною симетрiєю |
| title_alt |
Two-Particle System in Noncommutative Space with Preserved Rotational Symmetry |
| description |
We consider a system of two particles in the noncommutative space, which is rotationally invariant. It is shown that the coordinates of the center-of-mass position and the coordinates of relative motion satisfy a noncommutative algebra with corresponding effective tensors of noncommutativity. A hydrogen atom is studied as a two-particle system. We have found the corrections to the energy levels of the hydrogen atom up to the second order in the parameter of noncommutativity. |
| publisher |
Publishing house "Academperiodika" |
| publishDate |
2019 |
| url |
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019086 |
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AT gnatenkokhp twoparticlesysteminnoncommutativespacewithpreservedrotationalsymmetry AT tkachukvm twoparticlesysteminnoncommutativespacewithpreservedrotationalsymmetry AT gnatenkokhp sistemadvohčastinokunekomutativnomuprostorizizbereženoûsferičnoûsimetriêû AT tkachukvm sistemadvohčastinokunekomutativnomuprostorizizbereženoûsferičnoûsimetriêû |
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2025-10-02T01:15:47Z |
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2025-10-02T01:15:47Z |
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