Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map
We present an important contribution to the noncommutative approach to the hydrogen atom to deal with Lamb shift corrections. This can be done by studying the Klein{Gordon and Dirac equations in a non-commutative space-time up to first-order of the noncommutativity parameter using the Seiberg-Witten...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/140560 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map / S. Zaim // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 359-373. — Бібліогр.: 46 назв. — англ. |
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Zaim, S. 2018-07-10T16:16:52Z 2018-07-10T16:16:52Z 2016 Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map / S. Zaim // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 359-373. — Бібліогр.: 46 назв. — англ. 1812-9471 DOI : doi.org/10.15407/mag12.04.359 Mathematics Subject Classification 2000: 81T80, 37K05, 81Q05 https://nasplib.isofts.kiev.ua/handle/123456789/140560 We present an important contribution to the noncommutative approach to the hydrogen atom to deal with Lamb shift corrections. This can be done by studying the Klein{Gordon and Dirac equations in a non-commutative space-time up to first-order of the noncommutativity parameter using the Seiberg-Witten maps. We thus find the noncommutative modification of the energy levels and by comparing with the current experimental results on the Lamb shift of the 2P level to extract a bound on the parameter of noncommutativity, we show that the fundamental length (√Θ) is compatible with the value of the electroweak length scale (l). Phenomenologically, this effectively confirms the presence of gravity at this level. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| spellingShingle |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map Zaim, S. |
| title_short |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_full |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_fullStr |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_full_unstemmed |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map |
| title_sort |
noncommutative space-time of the relativistic equations with a coulomb potential using seiberg-witten map |
| author |
Zaim, S. |
| author_facet |
Zaim, S. |
| publishDate |
2016 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We present an important contribution to the noncommutative approach to the hydrogen atom to deal with Lamb shift corrections. This can be done by studying the Klein{Gordon and Dirac equations in a non-commutative space-time up to first-order of the noncommutativity parameter using the Seiberg-Witten maps. We thus find the noncommutative modification of the energy levels and by comparing with the current experimental results on the Lamb shift of the 2P level to extract a bound on the parameter of noncommutativity, we show that the fundamental length (√Θ) is compatible with the value of the electroweak length scale (l). Phenomenologically, this effectively confirms the presence of gravity at this level.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/140560 |
| citation_txt |
Noncommutative Space-Time of the Relativistic Equations with a Coulomb Potential Using Seiberg-Witten Map / S. Zaim // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 359-373. — Бібліогр.: 46 назв. — англ. |
| work_keys_str_mv |
AT zaims noncommutativespacetimeoftherelativisticequationswithacoulombpotentialusingseibergwittenmap |
| first_indexed |
2025-12-07T19:41:35Z |
| last_indexed |
2025-12-07T19:41:35Z |
| _version_ |
1850879766182232064 |